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103157172 = 22334397229
BaseRepresentation
bin1100010011000…
…00110110110100
321012002221001000
412021200312310
5202402012142
614123003300
72361551526
oct611406664
9235087030
10103157172
1153258568
122a669530
13184aa861
14d9b3a16
1590ca14c
hex6260db4

103157172 has 96 divisors (see below), whose sum is σ = 277692800. Its totient is φ = 33094656.

The previous prime is 103157167. The next prime is 103157183. The reversal of 103157172 is 271751301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450354 + ... + 450582.

Almost surely, 2103157172 is an apocalyptic number.

103157172 is a gapful number since it is divisible by the number (12) 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 103157172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138846400).

103157172 is an abundant number, since it is smaller than the sum of its proper divisors (174535628).

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

103157172 is a wasteful number, since it uses less digits than its factorization.

103157172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 103157172 is about 10156.6319220498. The cubic root of 103157172 is about 468.9931244379.

The spelling of 103157172 in words is "one hundred three million, one hundred fifty-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 97 108 129 172 194 229 258 291 387 388 458 516 582 687 774 873 916 1161 1164 1374 1548 1746 2061 2322 2619 2748 3492 4122 4171 4644 5238 6183 8244 8342 9847 10476 12366 12513 16684 19694 22213 24732 25026 29541 37539 39388 44426 50052 59082 66639 75078 88623 88852 112617 118164 133278 150156 177246 199917 225234 265869 266556 354492 399834 450468 531738 599751 799668 955159 1063476 1199502 1910318 2399004 2865477 3820636 5730954 8596431 11461908 17192862 25789293 34385724 51578586 103157172