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84930080 = 2553117123
BaseRepresentation
bin1010000111111…
…10111000100000
312220210220011112
411003332320200
5133220230310
612232202452
72050615364
oct503767040
9186726145
1084930080
1143a39254
1224539428
13147983b1
14b3cb2a4
1576c9705
hex50fee20

84930080 has 48 divisors (see below), whose sum is σ = 207131904. Its totient is φ = 32874240.

The previous prime is 84930061. The next prime is 84930089. The reversal of 84930080 is 8003948.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (84930089) 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 7 ways as a sum of consecutive naturals, for example, 3602 + ... + 13521.

It is an arithmetic number, because the mean of its divisors is an integer number (4315248).

Almost surely, 284930080 is an apocalyptic number.

84930080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84930080 is an abundant number, since it is smaller than the sum of its proper divisors (122201824).

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

84930080 is a wasteful number, since it uses less digits than its factorization.

84930080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17169 (or 17161 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 84930080 is about 9215.7517327671. The cubic root of 84930080 is about 439.5623747984.

The spelling of 84930080 in words is "eighty-four million, nine hundred thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 17123 34246 68492 85615 136984 171230 273968 342460 530813 547936 684920 1061626 1369840 2123252 2654065 2739680 4246504 5308130 8493008 10616260 16986016 21232520 42465040 84930080