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96103296 = 273283423
BaseRepresentation
bin1011011101001…
…10101110000000
320200211112221100
411232212232000
5144100301141
613311454400
72244602352
oct556465600
9220745840
1096103296
114a27a913
1228227400
1316baac73
14ca990d2
1586850b6
hex5ba6b80

96103296 has 48 divisors (see below), whose sum is σ = 276550560. Its totient is φ = 32034048.

The previous prime is 96103283. The next prime is 96103307. The reversal of 96103296 is 69230169.

96103296 is a `hidden beast` number, since 9 + 610 + 32 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 96103296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40560 + ... + 42863.

It is an arithmetic number, because the mean of its divisors is an integer number (5761470).

Almost surely, 296103296 is an apocalyptic number.

96103296 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

96103296 is an abundant number, since it is smaller than the sum of its proper divisors (180447264).

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

96103296 is a wasteful number, since it uses less digits than its factorization.

96103296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83443 (or 83428 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 96103296 is about 9803.2288558413. The cubic root of 96103296 is about 458.0498664900.

The spelling of 96103296 in words is "ninety-six million, one hundred three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 83423 166846 250269 333692 500538 667384 750807 1001076 1334768 1501614 2002152 2669536 3003228 4004304 5339072 6006456 8008608 10678144 12012912 16017216 24025824 32034432 48051648 96103296