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96084720 = 24325133451
BaseRepresentation
bin1011011101000…
…10001011110000
320200210121110100
411232202023300
5144044202340
613311232400
72244464244
oct556421360
9220717410
1096084720
114a267966
1228218700
1316ba2684
14ca92424
15867e830
hex5ba22f0

96084720 has 60 divisors (see below), whose sum is σ = 322686936. Its totient is φ = 25622400.

The previous prime is 96084643. The next prime is 96084721. The reversal of 96084720 is 2748069.

96084720 is a `hidden beast` number, since 9 + 608 + 47 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (96084721) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 66006 + ... + 67445.

Almost surely, 296084720 is an apocalyptic number.

96084720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96084720 is an abundant number, since it is smaller than the sum of its proper divisors (226602216).

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

96084720 is a wasteful number, since it uses less digits than its factorization.

96084720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133470 (or 133461 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 96084720 is about 9802.2813671104. The cubic root of 96084720 is about 458.0203521273.

The spelling of 96084720 in words is "ninety-six million, eighty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 133451 266902 400353 533804 667255 800706 1067608 1201059 1334510 1601412 2001765 2135216 2402118 2669020 3202824 4003530 4804236 5338040 6005295 6405648 8007060 9608472 10676080 12010590 16014120 19216944 24021180 32028240 48042360 96084720