Search a number
-
+
70101720 = 23335134993
BaseRepresentation
bin1000010110110…
…10101011011000
311212220112111000
410023122223120
5120421223340
610542305000
71510566123
oct413325330
9155815430
1070101720
1136630507
121b588160
13116a5c10
14944b3ba
15624ad30
hex42daad8

70101720 has 128 divisors (see below), whose sum is σ = 251697600. Its totient is φ = 17252352.

The previous prime is 70101701. The next prime is 70101721. The reversal of 70101720 is 2710107.

It is a super-2 number, since 2×701017202 = 9828502293916800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 70101693 and 70101702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70101721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11544 + ... + 16536.

Almost surely, 270101720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70101720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125848800).

70101720 is an abundant number, since it is smaller than the sum of its proper divisors (181595880).

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

70101720 is a wasteful number, since it uses less digits than its factorization.

70101720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5026 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 70101720 is about 8372.6769912615. The cubic root of 70101720 is about 412.3280605731.

Adding to 70101720 its reverse (2710107), we get a palindrome (72811827).

The spelling of 70101720 in words is "seventy million, one hundred one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 4993 7020 9986 14040 14979 19972 24965 29958 39944 44937 49930 59916 64909 74895 89874 99860 119832 129818 134811 149790 179748 194727 199720 224685 259636 269622 299580 324545 359496 389454 449370 519272 539244 584181 599160 649090 674055 778908 898740 973635 1078488 1168362 1298180 1348110 1557816 1752543 1797480 1947270 2336724 2596360 2696220 2920905 3505086 3894540 4673448 5392440 5841810 7010172 7789080 8762715 11683620 14020344 17525430 23367240 35050860 70101720