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172157076 = 22347135839
BaseRepresentation
bin10100100001011…
…10100010010100
3102222221111010000
422100232202110
5323033011301
625025531300
74160211450
oct1220564224
9388844100
10172157076
11891a6183
12497a3b30
13298890c0
1418c15660
15101a9786
hexa42e894

172157076 has 120 divisors (see below), whose sum is σ = 554005760. Its totient is φ = 45396288.

The previous prime is 172157059. The next prime is 172157087. The reversal of 172157076 is 670751271.

172157076 is a `hidden beast` number, since 17 + 2 + 1 + 570 + 76 = 666.

172157076 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 172157076.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26565 + ... + 32403.

Almost surely, 2172157076 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 172157076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277002880).

172157076 is an abundant number, since it is smaller than the sum of its proper divisors (381848684).

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

172157076 is a wasteful number, since it uses less digits than its factorization.

172157076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5875 (or 5864 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The square root of 172157076 is about 13120.8641483707. The cubic root of 172157076 is about 556.2990170835.

The spelling of 172157076 in words is "one hundred seventy-two million, one hundred fifty-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 2106 2268 2457 3276 4212 4914 5839 7371 9828 11678 14742 17517 23356 29484 35034 40873 52551 70068 75907 81746 105102 122619 151814 157653 163492 210204 227721 245238 303628 315306 367857 455442 472959 490476 531349 630612 683163 735714 910884 945918 1062698 1103571 1366326 1471428 1594047 1891836 2049489 2125396 2207142 2732652 3188094 3310713 4098978 4414284 4782141 6148467 6376188 6621426 8197956 9564282 12296934 13242852 14346423 19128564 24593868 28692846 43039269 57385692 86078538 172157076