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102468464 = 247914897
BaseRepresentation
bin1100001101110…
…00101101110000
321010210221022022
412012320231300
5202212442324
614100131012
72352652610
oct606705560
9233727268
10102468464
115292808a
122a396a68
13182c9237
14d874a40
158ee105e
hex61b8b70

102468464 has 20 divisors (see below), whose sum is σ = 226894704. Its totient is φ = 43915008.

The previous prime is 102468433. The next prime is 102468511. The reversal of 102468464 is 464864201.

It is a super-2 number, since 2×1024684642 = 20999572229038592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 457337 + ... + 457560.

Almost surely, 2102468464 is an apocalyptic number.

102468464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102468464 is an abundant number, since it is smaller than the sum of its proper divisors (124426240).

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

102468464 is an equidigital number, since it uses as much as digits as its factorization.

102468464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914912 (or 914906 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 102468464 is about 10122.6707938172. The cubic root of 102468464 is about 467.9470804848.

The spelling of 102468464 in words is "one hundred two million, four hundred sixty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 914897 1829794 3659588 6404279 7319176 12808558 14638352 25617116 51234232 102468464