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102025440 = 253351119113
BaseRepresentation
bin1100001010011…
…00100011100000
321002222102121000
412011030203200
5202104303230
614042432000
72346126156
oct605144340
9232872530
10102025440
1152655250
122a202600
13181a26aa
14d79b3d6
158e54b60
hex614c8e0

102025440 has 384 divisors, whose sum is σ = 413683200. Its totient is φ = 23224320.

The previous prime is 102025439. The next prime is 102025481. The reversal of 102025440 is 44520201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 902824 + ... + 902936.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 2102025440 is an apocalyptic number.

102025440 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 102025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

102025440 is an abundant number, since it is smaller than the sum of its proper divisors (311657760).

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

102025440 is a wasteful number, since it uses less digits than its factorization.

102025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 102025440 is about 10100.7643275150. The cubic root of 102025440 is about 467.2717140650.

Adding to 102025440 its reverse (44520201), we get a palindrome (146545641).

The spelling of 102025440 in words is "one hundred two million, twenty-five thousand, four hundred forty".