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96012096 = 2631932591
BaseRepresentation
bin1011011100100…
…00011101000000
320200122220211120
411232100131000
5144034341341
613305512240
72244042435
oct556203500
9220586746
1096012096
114a218344
12281a2680
1316b785bb
14ca73b8c
158668066
hex5b90740

96012096 has 56 divisors (see below), whose sum is σ = 255446784. Its totient is φ = 31825920.

The previous prime is 96012079. The next prime is 96012113. The reversal of 96012096 is 69021069.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (96012079) and next prime (96012113).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 35761 + ... + 38351.

Almost surely, 296012096 is an apocalyptic number.

96012096 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 96012096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127723392).

96012096 is an abundant number, since it is smaller than the sum of its proper divisors (159434688).

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

96012096 is a wasteful number, since it uses less digits than its factorization.

96012096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 96012096 is about 9798.5762231051. The cubic root of 96012096 is about 457.9049274130.

The spelling of 96012096 in words is "ninety-six million, twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 193 386 579 772 1158 1544 2316 2591 3088 4632 5182 6176 7773 9264 10364 12352 15546 18528 20728 31092 37056 41456 62184 82912 124368 165824 248736 497472 500063 1000126 1500189 2000252 3000378 4000504 6000756 8001008 12001512 16002016 24003024 32004032 48006048 96012096