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96137088 = 273298997
BaseRepresentation
bin1011011101011…
…10111110000000
320200220021021220
411232232332000
5144102341323
613312315040
72245103025
oct556567600
9220807256
1096137088
114a2a3243
1228242a80
1316bc0468
14caa754c
1586900e3
hex5baef80

96137088 has 128 divisors (see below), whose sum is σ = 269892000. Its totient is φ = 30277632.

The previous prime is 96137077. The next prime is 96137113. The reversal of 96137088 is 88073169.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 991056 + ... + 991152.

Almost surely, 296137088 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 96137088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134946000).

96137088 is an abundant number, since it is smaller than the sum of its proper divisors (173754912).

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

96137088 is a wasteful number, since it uses less digits than its factorization.

96137088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 96137088 is about 9804.9522181396. The cubic root of 96137088 is about 458.1035469494.

The spelling of 96137088 in words is "ninety-six million, one hundred thirty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 89 96 97 116 128 174 178 192 194 232 267 291 348 356 384 388 464 534 582 696 712 776 928 1068 1164 1392 1424 1552 1856 2136 2328 2581 2784 2813 2848 3104 3712 4272 4656 5162 5568 5626 5696 6208 7743 8439 8544 8633 9312 10324 11136 11252 11392 12416 15486 16878 17088 17266 18624 20648 22504 25899 30972 33756 34176 34532 37248 41296 45008 51798 61944 67512 69064 82592 90016 103596 123888 135024 138128 165184 180032 207192 247776 250357 270048 276256 330368 360064 414384 495552 500714 540096 552512 751071 828768 991104 1001428 1080192 1105024 1502142 1657536 2002856 3004284 3315072 4005712 6008568 8011424 12017136 16022848 24034272 32045696 48068544 96137088