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103925640 = 233571331307
BaseRepresentation
bin1100011000111…
…00011110001000
321020112222011210
412030130132020
5203101110030
614151253120
72401232130
oct614343610
9236488153
10103925640
1153732965
122a97a1a0
13186b9580
14db33ac0
1591ccbb0
hex631c788

103925640 has 256 divisors, whose sum is σ = 397393920. Its totient is φ = 21150720.

The previous prime is 103925623. The next prime is 103925659. The reversal of 103925640 is 46529301.

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

It is a junction number, because it is equal to n+sod(n) for n = 103925598 and 103925607.

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, 338367 + ... + 338673.

It is an arithmetic number, because the mean of its divisors is an integer number (1552320).

Almost surely, 2103925640 is an apocalyptic number.

103925640 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 103925640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198696960).

103925640 is an abundant number, since it is smaller than the sum of its proper divisors (293468280).

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

103925640 is a wasteful number, since it uses less digits than its factorization.

103925640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 103925640 is about 10194.3925763137. The cubic root of 103925640 is about 470.1548305343.

The spelling of 103925640 in words is "one hundred three million, nine hundred twenty-five thousand, six hundred forty".