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172171104 = 25372172153
BaseRepresentation
bin10100100001100…
…01111101100000
3102222222012100120
422100301331200
5323033433404
625030120240
74160300400
oct1220617540
9388865316
10172171104
1189205776
12497b0080
13298925c1
1418c1a800
15101ad9d9
hexa431f60

172171104 has 144 divisors (see below), whose sum is σ = 556921008. Its totient is φ = 46276608.

The previous prime is 172171093. The next prime is 172171151. The reversal of 172171104 is 401171271.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78892 + ... + 81044.

It is an arithmetic number, because the mean of its divisors is an integer number (3867507).

Almost surely, 2172171104 is an apocalyptic number.

172171104 is a gapful number since it is divisible by the number (14) 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 172171104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278460504).

172171104 is an abundant number, since it is smaller than the sum of its proper divisors (384749904).

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

172171104 is a wasteful number, since it uses less digits than its factorization.

172171104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 24.

The square root of 172171104 is about 13121.3987059307. The cubic root of 172171104 is about 556.3141264453.

The spelling of 172171104 in words is "one hundred seventy-two million, one hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 68 84 96 98 102 112 119 136 147 168 196 204 224 238 272 294 336 357 392 408 476 544 588 672 714 784 816 833 952 1176 1428 1568 1632 1666 1904 2153 2352 2499 2856 3332 3808 4306 4704 4998 5712 6459 6664 8612 9996 11424 12918 13328 15071 17224 19992 25836 26656 30142 34448 36601 39984 45213 51672 60284 68896 73202 79968 90426 103344 105497 109803 120568 146404 180852 206688 210994 219606 241136 256207 292808 316491 361704 421988 439212 482272 512414 585616 632982 723408 768621 843976 878424 1024828 1171232 1265964 1446816 1537242 1687952 1756848 1793449 2049656 2531928 3074484 3375904 3513696 3586898 4099312 5063856 5380347 6148968 7173796 8198624 10127712 10760694 12297936 14347592 21521388 24595872 28695184 43042776 57390368 86085552 172171104