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412535640 = 233511312527
BaseRepresentation
bin11000100101101…
…100101101011000
31001202020222111210
4120211230231120
51321102120030
6104534023120
713136331546
oct3045545530
91052228453
10412535640
111a1958150
12b61a7aa0
136761033a
143cb08d96
152633cbb0
hex1896cb58

412535640 has 64 divisors (see below), whose sum is σ = 1350120960. Its totient is φ = 100008320.

The previous prime is 412535639. The next prime is 412535653. The reversal of 412535640 is 46535214.

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 = 412535598 and 412535607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154944 + ... + 157583.

It is an arithmetic number, because the mean of its divisors is an integer number (21095640).

Almost surely, 2412535640 is an apocalyptic number.

412535640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412535640 is an abundant number, since it is smaller than the sum of its proper divisors (937585320).

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

412535640 is a wasteful number, since it uses less digits than its factorization.

412535640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312552 (or 312548 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 412535640 is about 20310.9733887867. The cubic root of 412535640 is about 744.4242146595.

The spelling of 412535640 in words is "four hundred twelve million, five hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 312527 625054 937581 1250108 1562635 1875162 2500216 3125270 3437797 3750324 4687905 6250540 6875594 7500648 9375810 10313391 12501080 13751188 17188985 18751620 20626782 27502376 34377970 37503240 41253564 51566955 68755940 82507128 103133910 137511880 206267820 412535640