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90756096 = 210331953
BaseRepresentation
bin1010110100011…
…01010000000000
320022202212221220
411122031100000
5141213143341
613001115040
72151262014
oct532152000
9208685856
1090756096
1147258442
1226488a80
1315a58142
14c0a6544
157e7aa66
hex568d400

90756096 has 88 divisors (see below), whose sum is σ = 249963264. Its totient is φ = 29245440.

The previous prime is 90756077. The next prime is 90756121. The reversal of 90756096 is 69065709.

It is a super-2 number, since 2×907560962 = 16473337922322432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94756 + ... + 95708.

Almost surely, 290756096 is an apocalyptic number.

90756096 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 90756096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124981632).

90756096 is an abundant number, since it is smaller than the sum of its proper divisors (159207168).

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

90756096 is a wasteful number, since it uses less digits than its factorization.

90756096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 90756096 is about 9526.5993932778. The cubic root of 90756096 is about 449.3919293208.

The spelling of 90756096 in words is "ninety million, seven hundred fifty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 953 992 1024 1488 1536 1906 1984 2859 2976 3072 3812 3968 5718 5952 7624 7936 11436 11904 15248 15872 22872 23808 29543 30496 31744 45744 47616 59086 60992 88629 91488 95232 118172 121984 177258 182976 236344 243968 354516 365952 472688 487936 709032 731904 945376 975872 1418064 1463808 1890752 2836128 2927616 3781504 5672256 7563008 11344512 15126016 22689024 30252032 45378048 90756096