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103260064 = 2523307457
BaseRepresentation
bin1100010011110…
…01111110100000
321012022011011211
412021321332200
5202413310224
614125115504
72362460515
oct611717640
9235264154
10103260064
11533188a6
122a6b8b94
131851563b
14d9dd30c
1590ea894
hex6279fa0

103260064 has 48 divisors (see below), whose sum is σ = 213288768. Its totient is φ = 49116672.

The previous prime is 103260049. The next prime is 103260103. The reversal of 103260064 is 460062301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225724 + ... + 226180.

It is an arithmetic number, because the mean of its divisors is an integer number (4443516).

Almost surely, 2103260064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103260064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106644384).

103260064 is an abundant number, since it is smaller than the sum of its proper divisors (110028704).

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

103260064 is a wasteful number, since it uses less digits than its factorization.

103260064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 103260064 is about 10161.6959214493. The cubic root of 103260064 is about 469.1490018066.

The spelling of 103260064 in words is "one hundred three million, two hundred sixty thousand, sixty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 307 368 457 614 736 914 1228 1828 2456 3656 4912 7061 7312 9824 10511 14122 14624 21022 28244 42044 56488 84088 112976 140299 168176 225952 280598 336352 561196 1122392 2244784 3226877 4489568 6453754 12907508 25815016 51630032 103260064