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172740096 = 2932191973
BaseRepresentation
bin10100100101111…
…00111000000000
3110001001002212100
422102330320000
5323210140341
625050230400
74165160304
oct1222747000
9401032770
10172740096
1189564211
1249a25400
1329a31599
1418d27d04
15102723b6
hexa4bce00

172740096 has 120 divisors (see below), whose sum is σ = 525044520. Its totient is φ = 54521856.

The previous prime is 172740083. The next prime is 172740103. The reversal of 172740096 is 690047271.

It is a happy number.

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 172740096.

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 11 ways as a sum of consecutive naturals, for example, 86566 + ... + 88538.

It is an arithmetic number, because the mean of its divisors is an integer number (4375371).

Almost surely, 2172740096 is an apocalyptic number.

172740096 is a gapful number since it is divisible by the number (16) 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 172740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262522260).

172740096 is an abundant number, since it is smaller than the sum of its proper divisors (352304424).

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

172740096 is a wasteful number, since it uses less digits than its factorization.

172740096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 172740096 is about 13143.0626567783. The cubic root of 172740096 is about 556.9262892294.

The spelling of 172740096 in words is "one hundred seventy-two million, seven hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1152 1216 1368 1536 1824 1973 2304 2432 2736 3648 3946 4608 4864 5472 5919 7296 7892 9728 10944 11838 14592 15784 17757 21888 23676 29184 31568 35514 37487 43776 47352 63136 71028 74974 87552 94704 112461 126272 142056 149948 189408 224922 252544 284112 299896 337383 378816 449844 505088 568224 599792 674766 757632 899688 1010176 1136448 1199584 1349532 1515264 1799376 2272896 2399168 2699064 3030528 3598752 4545792 4798336 5398128 7197504 9091584 9596672 10796256 14395008 19193344 21592512 28790016 43185024 57580032 86370048 172740096