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96515280 = 2433544683
BaseRepresentation
bin1011100000010…
…11010011010000
320201121111002000
411300023103100
5144201442110
613324354000
72251236441
oct560132320
9221544060
1096515280
114a5313a4
12283a5900
1316cc3644
14cb652c8
1587171c0
hex5c0b4d0

96515280 has 80 divisors (see below), whose sum is σ = 332448960. Its totient is φ = 25736832.

The previous prime is 96515261. The next prime is 96515281. The reversal of 96515280 is 8251569.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96515281) 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 15 ways as a sum of consecutive naturals, for example, 20182 + ... + 24501.

It is an arithmetic number, because the mean of its divisors is an integer number (4155612).

Almost surely, 296515280 is an apocalyptic number.

96515280 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96515280 is an abundant number, since it is smaller than the sum of its proper divisors (235933680).

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

96515280 is a wasteful number, since it uses less digits than its factorization.

96515280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44705 (or 44693 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 96515280 is about 9824.2190529324. The cubic root of 96515280 is about 458.7034694569.

The spelling of 96515280 in words is "ninety-six million, five hundred fifteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 44683 89366 134049 178732 223415 268098 357464 402147 446830 536196 670245 714928 804294 893660 1072392 1206441 1340490 1608588 1787320 2010735 2144784 2412882 2680980 3217176 3574640 4021470 4825764 5361960 6032205 6434352 8042940 9651528 10723920 12064410 16085880 19303056 24128820 32171760 48257640 96515280