Search a number
-
+
3989990970 = 2325736717257
BaseRepresentation
bin1110110111010010…
…0110111000111010
3101022001212112122100
43231310212320322
531132414202340
61455531204230
7200606235510
oct35564467072
911261775570
103989990970
1117682782a9
129342a6676
134b7828a04
1429bcaa4b0
15185449830
hexedd26e3a

3989990970 has 96 divisors (see below), whose sum is σ = 11888967168. Its totient is φ = 909460224.

The previous prime is 3989990929. The next prime is 3989990971. The reversal of 3989990970 is 790999893.

3989990970 is a `hidden beast` number, since 398 + 99 + 90 + 9 + 70 = 666.

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 = 3989990898 and 3989990907.

It is not an unprimeable number, because it can be changed into a prime (3989990971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222582 + ... + 239838.

It is an arithmetic number, because the mean of its divisors is an integer number (123843408).

Almost surely, 23989990970 is an apocalyptic number.

3989990970 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 3989990970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5944483584).

3989990970 is an abundant number, since it is smaller than the sum of its proper divisors (7898976198).

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

3989990970 is a wasteful number, since it uses less digits than its factorization.

3989990970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17644 (or 17641 counting only the distinct ones).

The product of its (nonzero) digits is 9920232, while the sum is 63.

The square root of 3989990970 is about 63166.3753115532. The cubic root of 3989990970 is about 1586.0759173476.

The spelling of 3989990970 in words is "three billion, nine hundred eighty-nine million, nine hundred ninety thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 367 630 734 1101 1835 2202 2569 3303 3670 5138 5505 6606 7707 11010 12845 15414 16515 17257 23121 25690 33030 34514 38535 46242 51771 77070 86285 103542 115605 120799 155313 172570 231210 241598 258855 310626 362397 517710 603995 724794 776565 1087191 1207990 1553130 1811985 2174382 3623970 5435955 6333319 10871910 12666638 18999957 31666595 37999914 44333233 56999871 63333190 88666466 94999785 113999742 132999699 189999570 221666165 265999398 284999355 398999097 443332330 569998710 664998495 797998194 1329996990 1994995485 3989990970