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1520242816 = 2717698641
BaseRepresentation
bin101101010011101…
…0001000010000000
310220221121100002111
41122213101002000
511103140232231
6410504025104
752446564541
oct13247210200
93827540074
101520242816
11710156a24
12365162194
131b2c5c081
14105c924c8
158d6e74b1
hex5a9d1080

1520242816 has 32 divisors (see below), whose sum is σ = 3206766780. Its totient is φ = 715407360.

The previous prime is 1520242807. The next prime is 1520242847. The reversal of 1520242816 is 6182420251.

It can be written as a sum of positive squares in 2 ways, for example, as 1440961600 + 79281216 = 37960^2 + 8904^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×15202428162 = 4622276439199219712, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 347145 + ... + 351496.

Almost surely, 21520242816 is an apocalyptic number.

1520242816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1520242816 is an abundant number, since it is smaller than the sum of its proper divisors (1686523964).

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

1520242816 is an equidigital number, since it uses as much as digits as its factorization.

1520242816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698672 (or 698660 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 1520242816 is about 38990.2913043747. The cubic root of 1520242816 is about 1149.8406372744.

The spelling of 1520242816 in words is "one billion, five hundred twenty million, two hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 698641 1397282 2794564 5589128 11178256 11876897 22356512 23753794 44713024 47507588 89426048 95015176 190030352 380060704 760121408 1520242816