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420872640 = 2635438409
BaseRepresentation
bin11001000101100…
…000000111000000
31002022221112201120
4121011200013000
51330220411030
6105432432240
713300233636
oct3105400700
91068845646
10420872640
111a6631931
12b8b48680
136926bc86
143dc79356
1526e38010
hex191601c0

420872640 has 56 divisors (see below), whose sum is σ = 1336273680. Its totient is φ = 112232448.

The previous prime is 420872567. The next prime is 420872651. The reversal of 420872640 is 46278024.

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, 218245 + ... + 220164.

It is an arithmetic number, because the mean of its divisors is an integer number (23862030).

Almost surely, 2420872640 is an apocalyptic number.

420872640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420872640 is an abundant number, since it is smaller than the sum of its proper divisors (915401040).

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

420872640 is a wasteful number, since it uses less digits than its factorization.

420872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438429 (or 438419 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 420872640 is about 20515.1807206273. The cubic root of 420872640 is about 749.4055378330.

The spelling of 420872640 in words is "four hundred twenty million, eight hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 438409 876818 1315227 1753636 2192045 2630454 3507272 4384090 5260908 6576135 7014544 8768180 10521816 13152270 14029088 17536360 21043632 26304540 28058176 35072720 42087264 52609080 70145440 84174528 105218160 140290880 210436320 420872640