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102463680 = 26351131313
BaseRepresentation
bin1100001101101…
…11100011000000
321010210200202010
412012313203000
5202212314210
614100052520
72352632634
oct606674300
9233720663
10102463680
1152924530
122a394140
13182c6cc7
14d872dc4
158ede920
hex61b78c0

102463680 has 224 divisors, whose sum is σ = 367515648. Its totient is φ = 23961600.

The previous prime is 102463667. The next prime is 102463687. The reversal of 102463680 is 86364201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (102463687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327204 + ... + 327516.

Almost surely, 2102463680 is an apocalyptic number.

102463680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183757824).

102463680 is an abundant number, since it is smaller than the sum of its proper divisors (265051968).

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

102463680 is a wasteful number, since it uses less digits than its factorization.

102463680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 102463680 is about 10122.4344897855. The cubic root of 102463680 is about 467.9397979395.

The spelling of 102463680 in words is "one hundred two million, four hundred sixty-three thousand, six hundred eighty".