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102255720 = 233571943149
BaseRepresentation
bin1100001100001…
…00110001101000
321010102010110220
412012010301220
5202134140340
614051410040
72351105430
oct606046150
9233363426
10102255720
11527a2266
122a2b3920
1318253458
14d81b2c0
158e9ced0
hex6184c68

102255720 has 256 divisors, whose sum is σ = 380160000. Its totient is φ = 21482496.

The previous prime is 102255707. The next prime is 102255737. The reversal of 102255720 is 27552201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 686206 + ... + 686354.

It is an arithmetic number, because the mean of its divisors is an integer number (1485000).

Almost surely, 2102255720 is an apocalyptic number.

102255720 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 102255720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190080000).

102255720 is an abundant number, since it is smaller than the sum of its proper divisors (277904280).

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

102255720 is a wasteful number, since it uses less digits than its factorization.

102255720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 102255720 is about 10112.1570399198. The cubic root of 102255720 is about 467.6230070859.

The spelling of 102255720 in words is "one hundred two million, two hundred fifty-five thousand, seven hundred twenty".