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420522480 = 24325783437
BaseRepresentation
bin11001000100001…
…010100111110000
31002022021202101200
4121010022213300
51330123204410
6105421131200
713264245030
oct3104124760
91068252350
10420522480
111a6412844
12b89b9b00
1369178791
143dbc78c0
1526db93c0
hex1910a9f0

420522480 has 120 divisors (see below), whose sum is σ = 1614024672. Its totient is φ = 96118272.

The previous prime is 420522469. The next prime is 420522491. The reversal of 420522480 is 84225024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420522469) and next prime (420522491).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36679 + ... + 46758.

Almost surely, 2420522480 is an apocalyptic number.

420522480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420522480 is an abundant number, since it is smaller than the sum of its proper divisors (1193502192).

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

420522480 is a wasteful number, since it uses less digits than its factorization.

420522480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83463 (or 83454 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 420522480 is about 20506.6447767547. The cubic root of 420522480 is about 749.1976486158.

The spelling of 420522480 in words is "four hundred twenty million, five hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 83437 166874 250311 333748 417185 500622 584059 667496 750933 834370 1001244 1168118 1251555 1334992 1501866 1668740 1752177 2002488 2336236 2503110 2920295 3003732 3337480 3504354 3754665 4004976 4672472 5006220 5256531 5840590 6007464 6674960 7008708 7509330 8760885 9344944 10012440 10513062 11681180 12014928 14017416 15018660 17521770 20024880 21026124 23362360 26282655 28034832 30037320 35043540 42052248 46724720 52565310 60074640 70087080 84104496 105130620 140174160 210261240 420522480