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106976256 = 210397359
BaseRepresentation
bin1100110000001…
…01010000000000
321110021221211120
412120011100000
5204341220011
614340512240
72436166062
oct630052000
9243257746
10106976256
1155426932
122b9ab680
1319216c7a
14102c9732
1595d1a06
hex6605400

106976256 has 88 divisors (see below), whose sum is σ = 288872640. Its totient is φ = 35192832.

The previous prime is 106976237. The next prime is 106976281. The reversal of 106976256 is 652679601.

It is a super-2 number, since 2×1069762562 = 22887838695555072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297805 + ... + 298163.

Almost surely, 2106976256 is an apocalyptic number.

106976256 is a gapful number since it is divisible by the number (16) 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 106976256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144436320).

106976256 is an abundant number, since it is smaller than the sum of its proper divisors (181896384).

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

106976256 is an equidigital number, since it uses as much as digits as its factorization.

106976256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 106976256 is about 10342.9326595507. The cubic root of 106976256 is about 474.7108208445.

The spelling of 106976256 in words is "one hundred six million, nine hundred seventy-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 256 291 359 384 388 512 582 718 768 776 1024 1077 1164 1436 1536 1552 2154 2328 2872 3072 3104 4308 4656 5744 6208 8616 9312 11488 12416 17232 18624 22976 24832 34464 34823 37248 45952 49664 68928 69646 74496 91904 99328 104469 137856 139292 148992 183808 208938 275712 278584 297984 367616 417876 551424 557168 835752 1102848 1114336 1671504 2228672 3343008 4457344 6686016 8914688 13372032 17829376 26744064 35658752 53488128 106976256