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87708096 = 263472417
BaseRepresentation
bin1010011101001…
…01000111000000
320010001000220000
411032211013000
5134423124341
612411520000
72113335510
oct516450700
9203030800
1087708096
1145566433
1225459000
131522b9a8
14b911840
157a778b6
hex53a51c0

87708096 has 140 divisors (see below), whose sum is σ = 297259248. Its totient is φ = 25049088.

The previous prime is 87708077. The next prime is 87708107. The reversal of 87708096 is 69080778.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 35080 + ... + 37496.

Almost surely, 287708096 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 87708096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148629624).

87708096 is an abundant number, since it is smaller than the sum of its proper divisors (209551152).

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

87708096 is a wasteful number, since it uses less digits than its factorization.

87708096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 87708096 is about 9365.2600604575. The cubic root of 87708096 is about 444.3036637078.

The spelling of 87708096 in words is "eighty-seven million, seven hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2417 2592 3024 4032 4536 4834 5184 6048 7251 9072 9668 12096 14502 16919 18144 19336 21753 29004 33838 36288 38672 43506 50757 58008 65259 67676 77344 87012 101514 116016 130518 135352 152271 154688 174024 195777 203028 232032 261036 270704 304542 348048 391554 406056 456813 464064 522072 541408 609084 696096 783108 812112 913626 1044144 1082816 1218168 1370439 1392192 1566216 1624224 1827252 2088288 2436336 2740878 3132432 3248448 3654504 4176576 4872672 5481756 6264864 7309008 9745344 10963512 12529728 14618016 21927024 29236032 43854048 87708096