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415082080 = 2557370609
BaseRepresentation
bin11000101111011…
…010011001100000
31001221001100120101
4120233122121200
51322230111310
6105104352144
713200065560
oct3057323140
91057040511
10415082080
111a3337346
12b7015654
1367cc23ca
143d1acda0
152669243a
hex18bda660

415082080 has 48 divisors (see below), whose sum is σ = 1120724640. Its totient is φ = 142313472.

The previous prime is 415082039. The next prime is 415082099. The reversal of 415082080 is 80280514.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 184185 + ... + 186424.

It is an arithmetic number, because the mean of its divisors is an integer number (23348430).

Almost surely, 2415082080 is an apocalyptic number.

415082080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415082080 is an abundant number, since it is smaller than the sum of its proper divisors (705642560).

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

415082080 is a wasteful number, since it uses less digits than its factorization.

415082080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370631 (or 370623 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 415082080 is about 20373.5632622278. The cubic root of 415082080 is about 745.9527650638.

The spelling of 415082080 in words is "four hundred fifteen million, eighty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 370609 741218 1482436 1853045 2594263 2964872 3706090 5188526 5929744 7412180 10377052 11859488 12971315 14824360 20754104 25942630 29648720 41508208 51885260 59297440 83016416 103770520 207541040 415082080