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120642172 = 22719415531
BaseRepresentation
bin1110011000011…
…01101001111100
322102000020221121
413030031221330
5221341022142
615545440324
72663304310
oct714155174
9272006847
10120642172
1162110282
12344a00a4
131bcc0301
1412045b40
15a8d0c67
hex730da7c

120642172 has 48 divisors (see below), whose sum is σ = 260225280. Its totient is φ = 47779200.

The previous prime is 120642167. The next prime is 120642227. The reversal of 120642172 is 271246021.

It is a super-3 number, since 3×1206421723 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19047 + ... + 24577.

It is an arithmetic number, because the mean of its divisors is an integer number (5421360).

Almost surely, 2120642172 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 120642172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130112640).

120642172 is an abundant number, since it is smaller than the sum of its proper divisors (139583108).

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

120642172 is a wasteful number, since it uses less digits than its factorization.

120642172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602 (or 5600 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 120642172 is about 10983.7230482200. The cubic root of 120642172 is about 494.1207013272.

Adding to 120642172 its reverse (271246021), we get a palindrome (391888193).

The spelling of 120642172 in words is "one hundred twenty million, six hundred forty-two thousand, one hundred seventy-two".

Divisors: 1 2 4 7 14 19 28 38 41 76 82 133 164 266 287 532 574 779 1148 1558 3116 5453 5531 10906 11062 21812 22124 38717 77434 105089 154868 210178 226771 420356 453542 735623 907084 1471246 1587397 2942492 3174794 4308649 6349588 8617298 17234596 30160543 60321086 120642172