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102021536 = 2529109937
BaseRepresentation
bin1100001010010…
…11100110100000
321002222020020102
412011023212200
5202104142121
614042401532
72346111611
oct605134640
9232866212
10102021536
1152652321
122a2002a8
13181a0996
14d799c08
158e5390b
hex614b9a0

102021536 has 24 divisors (see below), whose sum is σ = 207782820. Its totient is φ = 49251328.

The previous prime is 102021511. The next prime is 102021541. The reversal of 102021536 is 635120201.

It can be written as a sum of positive squares in 2 ways, for example, as 99600400 + 2421136 = 9980^2 + 1556^2 .

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, 54041 + ... + 55896.

Almost surely, 2102021536 is an apocalyptic number.

102021536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102021536 is an abundant number, since it is smaller than the sum of its proper divisors (105761284).

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

102021536 is a wasteful number, since it uses less digits than its factorization.

102021536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109976 (or 109968 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 102021536 is about 10100.5710729641. The cubic root of 102021536 is about 467.2657539435.

Adding to 102021536 its reverse (635120201), we get a palindrome (737141737).

The spelling of 102021536 in words is "one hundred two million, twenty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 109937 219874 439748 879496 1758992 3188173 3517984 6376346 12752692 25505384 51010768 102021536