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172975104 = 210321372
BaseRepresentation
bin10100100111101…
…10010000000000
3110001111001020100
422103312100000
5323240200404
625055242400
74200156411
oct1223662000
9401431210
10172975104
1189704835
1249b19400
1329ab4543
1418d89808
15102bbd39
hexa4f6400

172975104 has 99 divisors (see below), whose sum is σ = 503134177. Its totient is φ = 57237504.

The previous prime is 172975091. The next prime is 172975123. The reversal of 172975104 is 401579271.

It is a happy number.

The square root of 172975104 is 13152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 71368704 = 10080^2 + 8448^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1262524 + ... + 1262660.

Almost surely, 2172975104 is an apocalyptic number.

172975104 is the 13152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172975104

172975104 is an abundant number, since it is smaller than the sum of its proper divisors (330159073).

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

172975104 is an equidigital number, since it uses as much as digits as its factorization.

172975104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The cubic root of 172975104 is about 557.1787355875.

Multiplying 172975104 by its sum of digits (36), we get a square (6227103744 = 789122).

172975104 divided by its sum of digits (36) gives a square (4804864 = 21922).

The spelling of 172975104 in words is "one hundred seventy-two million, nine hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 256 274 288 384 411 512 548 576 768 822 1024 1096 1152 1233 1536 1644 2192 2304 2466 3072 3288 4384 4608 4932 6576 8768 9216 9864 13152 17536 18769 19728 26304 35072 37538 39456 52608 56307 70144 75076 78912 105216 112614 140288 150152 157824 168921 210432 225228 300304 315648 337842 420864 450456 600608 631296 675684 900912 1201216 1262592 1351368 1801824 2402432 2702736 3603648 4804864 5405472 7207296 9609728 10810944 14414592 19219456 21621888 28829184 43243776 57658368 86487552 172975104