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420724640 = 2557375647
BaseRepresentation
bin11001000100111…
…011111110100000
31002022200000201002
4121010323332200
51330201142030
6105425331132
713266046310
oct3104737640
91068600632
10420724640
111a6540716
12b8a96aa8
13692197bb
143dc3b440
1526e09245
hex1913bfa0

420724640 has 48 divisors (see below), whose sum is σ = 1135959552. Its totient is φ = 144248064.

The previous prime is 420724621. The next prime is 420724649. The reversal of 420724640 is 46427024.

It is not an unprimeable number, because it can be changed into a prime (420724649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186704 + ... + 188943.

It is an arithmetic number, because the mean of its divisors is an integer number (23665824).

Almost surely, 2420724640 is an apocalyptic number.

420724640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420724640 is an abundant number, since it is smaller than the sum of its proper divisors (715234912).

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

420724640 is a wasteful number, since it uses less digits than its factorization.

420724640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375669 (or 375661 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 420724640 is about 20511.5733184951. The cubic root of 420724640 is about 749.3176846344.

The spelling of 420724640 in words is "four hundred twenty million, seven hundred twenty-four thousand, six hundred forty".

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 375647 751294 1502588 1878235 2629529 3005176 3756470 5259058 6010352 7512940 10518116 12020704 13147645 15025880 21036232 26295290 30051760 42072464 52590580 60103520 84144928 105181160 210362320 420724640