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120631896 = 23337117253
BaseRepresentation
bin1110011000010…
…11001001011000
322101222201212000
413030023021120
5221340210041
615545321000
72663232330
oct714131130
9271881760
10120631896
1162103590
1234496160
131bcb8728
14120420c0
15a8ccbb6
hex730b258

120631896 has 128 divisors (see below), whose sum is σ = 417830400. Its totient is φ = 31328640.

The previous prime is 120631891. The next prime is 120631913. The reversal of 120631896 is 698136021.

120631896 is a `hidden beast` number, since 12 + 0 + 631 + 8 + 9 + 6 = 666.

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 120631896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120631891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13006 + ... + 20258.

It is an arithmetic number, because the mean of its divisors is an integer number (3264300).

Almost surely, 2120631896 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 120631896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208915200).

120631896 is an abundant number, since it is smaller than the sum of its proper divisors (297198504).

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

120631896 is a wasteful number, since it uses less digits than its factorization.

120631896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7286 (or 7276 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 120631896 is about 10983.2552551600. The cubic root of 120631896 is about 494.1066716050.

The spelling of 120631896 in words is "one hundred twenty million, six hundred thirty-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 4158 5544 7253 8316 14506 16632 21759 29012 43518 50771 58024 65277 79783 87036 101542 130554 152313 159566 174072 195831 203084 239349 261108 304626 319132 391662 406168 456939 478698 522216 558481 609252 638264 718047 783324 913878 957396 1116962 1218504 1370817 1436094 1566648 1675443 1827756 1914792 2154141 2233924 2741634 2872188 3350886 3655512 4308282 4467848 5026329 5483268 5744376 6701772 8616564 10052658 10966536 13403544 15078987 17233128 20105316 30157974 40210632 60315948 120631896