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96987136 = 211232971
BaseRepresentation
bin1011100011111…
…10100000000000
320202111110100011
411301332200000
5144312042021
613342434304
72255243221
oct561764000
9222443304
1096987136
114a823964
1228592994
131712a34c
14cc49248
1587abde1
hex5c7e800

96987136 has 96 divisors (see below), whose sum is σ = 212284800. Its totient is φ = 44154880.

The previous prime is 96987089. The next prime is 96987139. The reversal of 96987136 is 63178969.

It is a self number, because there is not a number n which added to its sum of digits gives 96987136.

It is not an unprimeable number, because it can be changed into a prime (96987139) by changing a digit.

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, 1365981 + ... + 1366051.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 296987136 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 96987136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400).

96987136 is an abundant number, since it is smaller than the sum of its proper divisors (115297664).

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

96987136 is a wasteful number, since it uses less digits than its factorization.

96987136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its digits is 489888, while the sum is 49.

The square root of 96987136 is about 9848.2047094889. The cubic root of 96987136 is about 459.4497769027.

The spelling of 96987136 in words is "ninety-six million, nine hundred eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 29 32 46 58 64 71 92 116 128 142 184 232 256 284 368 464 512 568 667 736 928 1024 1136 1334 1472 1633 1856 2048 2059 2272 2668 2944 3266 3712 4118 4544 5336 5888 6532 7424 8236 9088 10672 11776 13064 14848 16472 18176 21344 23552 26128 29696 32944 36352 42688 47104 47357 52256 59392 65888 72704 85376 94714 104512 131776 145408 170752 189428 209024 263552 341504 378856 418048 527104 683008 757712 836096 1054208 1366016 1515424 1672192 2108416 3030848 3344384 4216832 6061696 12123392 24246784 48493568 96987136