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96090624 = 29347331
BaseRepresentation
bin1011011101000…
…11101000000000
320200210220120000
411232203220000
5144044344444
613311320000
72244520410
oct556435000
9220726500
1096090624
114a271343
1228220000
1316ba5276
14ca94640
158681469
hex5ba3a00

96090624 has 200 divisors, whose sum is σ = 328767648. Its totient is φ = 27371520.

The previous prime is 96090611. The next prime is 96090637. The reversal of 96090624 is 42609069.

It is an interprime number because it is at equal distance from previous prime (96090611) and next prime (96090637).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 290139 + ... + 290469.

Almost surely, 296090624 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 96090624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164383824).

96090624 is an abundant number, since it is smaller than the sum of its proper divisors (232677024).

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

96090624 is an equidigital number, since it uses as much as digits as its factorization.

96090624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 96090624 is about 9802.5825168677. The cubic root of 96090624 is about 458.0297330735.

The spelling of 96090624 in words is "ninety-six million, ninety thousand, six hundred twenty-four".