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107970944 = 271729259
BaseRepresentation
bin1100110111110…
…00000110000000
321112011111021212
412123320012000
5210120032234
614414105252
72450511044
oct633700600
9245144255
10107970944
1155a46194
12301ab228
13194a4943
14104a8024
15972b5ce
hex66f8180

107970944 has 96 divisors (see below), whose sum is σ = 239873400. Its totient is φ = 48226304.

The previous prime is 107970943. The next prime is 107970949. The reversal of 107970944 is 449079701.

It is a happy number.

It is a super-2 number, since 2×1079709442 = 23315449496502272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107970943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1829987 + ... + 1830045.

Almost surely, 2107970944 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 107970944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119936700).

107970944 is an abundant number, since it is smaller than the sum of its proper divisors (131902456).

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

107970944 is an equidigital number, since it uses as much as digits as its factorization.

107970944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 41.

The square root of 107970944 is about 10390.9067939232. The cubic root of 107970944 is about 476.1776047924.

The spelling of 107970944 in words is "one hundred seven million, nine hundred seventy thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 59 64 68 116 118 128 136 232 236 272 464 472 493 544 841 928 944 986 1003 1088 1682 1711 1856 1888 1972 2006 2176 3364 3422 3712 3776 3944 4012 6728 6844 7552 7888 8024 13456 13688 14297 15776 16048 26912 27376 28594 29087 31552 32096 49619 53824 54752 57188 58174 63104 64192 99238 107648 109504 114376 116348 128384 198476 219008 228752 232696 396952 457504 465392 793904 843523 915008 930784 1587808 1687046 1830016 1861568 3175616 3374092 3723136 6351232 6748184 13496368 26992736 53985472 107970944