Search a number
-
+
3995887770 = 2325728291093
BaseRepresentation
bin1110111000101100…
…0110100010011010
3101022110222010112100
43232023012202122
531140421402040
61500301424230
7201010325400
oct35613064232
911273863470
103995887770
111770635696
1293626b076
134b8b11a44
1429c9a3470
15185c11b30
hexee2c689a

3995887770 has 144 divisors (see below), whose sum is σ = 12111170760. Its totient is φ = 911409408.

The previous prime is 3995887769. The next prime is 3995887771. The reversal of 3995887770 is 777885993.

3995887770 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3995887769) and next prime (3995887771).

It can be written as a sum of positive squares in 4 ways, for example, as 3961065969 + 34821801 = 62937^2 + 5901^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3995887698 and 3995887707.

It is not an unprimeable number, because it can be changed into a prime (3995887771) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3655344 + ... + 3656436.

Almost surely, 23995887770 is an apocalyptic number.

3995887770 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3995887770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6055585380).

3995887770 is an abundant number, since it is smaller than the sum of its proper divisors (8115282990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3995887770 is a wasteful number, since it uses less digits than its factorization.

3995887770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The square root of 3995887770 is about 63213.0348108679. The cubic root of 3995887770 is about 1586.8568855951.

The spelling of 3995887770 in words is "three billion, nine hundred ninety-five million, eight hundred eighty-seven thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 829 882 1093 1470 1658 2186 2205 2487 3279 4145 4410 4974 5465 5803 6558 7461 7651 8290 9837 10930 11606 12435 14922 15302 16395 17409 19674 22953 24870 29015 32790 34818 37305 38255 40621 45906 49185 52227 53557 58030 68859 74610 76510 81242 87045 98370 104454 107114 114765 121863 137718 160671 174090 203105 229530 243726 261135 267785 321342 344295 365589 406210 482013 522270 535570 609315 688590 731178 803355 906097 964026 1218630 1606710 1812194 1827945 2410065 2718291 3655890 4530485 4820130 5436582 6342679 8154873 9060970 12685358 13591455 16309746 19028037 27182910 31713395 38056074 40774365 44398753 57084111 63426790 81548730 88797506 95140185 114168222 133196259 190280370 221993765 266392518 285420555 399588777 443987530 570841110 665981295 799177554 1331962590 1997943885 3995887770