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96106656 = 2531815531
BaseRepresentation
bin1011011101001…
…11100010100000
320200211201112210
411232213202200
5144100403111
613311522120
72244615222
oct556474240
9220751483
1096106656
114a282398
1228229340
1316bac659
14ca9a412
1586860a6
hex5ba78a0

96106656 has 48 divisors (see below), whose sum is σ = 253719648. Its totient is φ = 31852800.

The previous prime is 96106631. The next prime is 96106679. The reversal of 96106656 is 65660169.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14611 + ... + 20141.

It is an arithmetic number, because the mean of its divisors is an integer number (5285826).

Almost surely, 296106656 is an apocalyptic number.

96106656 is a gapful number since it is divisible by the number (96) 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 96106656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126859824).

96106656 is an abundant number, since it is smaller than the sum of its proper divisors (157612992).

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

96106656 is a wasteful number, since it uses less digits than its factorization.

96106656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5725 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 96106656 is about 9803.4002264520. The cubic root of 96106656 is about 458.0552045990.

The spelling of 96106656 in words is "ninety-six million, one hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 181 362 543 724 1086 1448 2172 2896 4344 5531 5792 8688 11062 16593 17376 22124 33186 44248 66372 88496 132744 176992 265488 530976 1001111 2002222 3003333 4004444 6006666 8008888 12013332 16017776 24026664 32035552 48053328 96106656