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102906816 = 263535973
BaseRepresentation
bin1100010001000…
…11101111000000
321011122012121120
412020203233000
5202321004231
614113352240
72356456605
oct610435700
9234565546
10102906816
11530a7461
122a568680
131842090c
14d94a6ac
15907ad96
hex6223bc0

102906816 has 28 divisors (see below), whose sum is σ = 272274792. Its totient is φ = 34302208.

The previous prime is 102906809. The next prime is 102906821. The reversal of 102906816 is 618609201.

It is a congruent number.

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, 267795 + ... + 268178.

Almost surely, 2102906816 is an apocalyptic number.

102906816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102906816 is an abundant number, since it is smaller than the sum of its proper divisors (169367976).

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

102906816 is an equidigital number, since it uses as much as digits as its factorization.

102906816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535988 (or 535978 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 102906816 is about 10144.2996801159. The cubic root of 102906816 is about 468.6134114390.

The spelling of 102906816 in words is "one hundred two million, nine hundred six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 535973 1071946 1607919 2143892 3215838 4287784 6431676 8575568 12863352 17151136 25726704 34302272 51453408 102906816