Search a number
-
+
23170706960 = 2453110390709
BaseRepresentation
bin10101100101000101…
…001110111000010000
32012210210202212111212
4111211011032320100
5334423200110320
614351112355252
71450122521342
oct254505167020
965723685455
1023170706960
1199102950a5
1245a79a5b28
13225355b1bb
14119b447292
159092ce9c5
hex56514ee10

23170706960 has 80 divisors (see below), whose sum is σ = 56150215680. Its totient is φ = 8882127360.

The previous prime is 23170706957. The next prime is 23170706969. The reversal of 23170706960 is 6960707132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×231707069602 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23170706969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210086 + ... + 300794.

It is an arithmetic number, because the mean of its divisors is an integer number (701877696).

Almost surely, 223170706960 is an apocalyptic number.

23170706960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23170706960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28075107840).

23170706960 is an abundant number, since it is smaller than the sum of its proper divisors (32979508720).

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

23170706960 is a wasteful number, since it uses less digits than its factorization.

23170706960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90856 (or 90850 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 41.

The spelling of 23170706960 in words is "twenty-three billion, one hundred seventy million, seven hundred six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 103 124 155 206 248 310 412 496 515 620 824 1030 1240 1648 2060 2480 3193 4120 6386 8240 12772 15965 25544 31930 51088 63860 90709 127720 181418 255440 362836 453545 725672 907090 1451344 1814180 2811979 3628360 5623958 7256720 9343027 11247916 14059895 18686054 22495832 28119790 37372108 44991664 46715135 56239580 74744216 93430270 112479160 149488432 186860540 224958320 289633837 373721080 579267674 747442160 1158535348 1448169185 2317070696 2896338370 4634141392 5792676740 11585353480 23170706960