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420656880 = 24357337743
BaseRepresentation
bin11001000100101…
…011011011110000
31002022112120202110
4121010223123300
51330142010010
6105424045320
713265344620
oct3104533360
91068476673
10420656880
111a64a4816
12b8a63840
13691c49c7
143dc20880
1526de4120
hex1912b6f0

420656880 has 160 divisors (see below), whose sum is σ = 1496761344. Its totient is φ = 95735808.

The previous prime is 420656869. The next prime is 420656881. The reversal of 420656880 is 88656024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420656881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565789 + ... + 566531.

Almost surely, 2420656880 is an apocalyptic number.

420656880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420656880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748380672).

420656880 is an abundant number, since it is smaller than the sum of its proper divisors (1076104464).

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

420656880 is a wasteful number, since it uses less digits than its factorization.

420656880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 420656880 is about 20509.9215015563. The cubic root of 420656880 is about 749.2774552401.

The spelling of 420656880 in words is "four hundred twenty million, six hundred fifty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 337 420 560 674 743 840 1011 1348 1486 1680 1685 2022 2229 2359 2696 2972 3370 3715 4044 4458 4718 5055 5201 5392 5944 6740 7077 7430 8088 8916 9436 10110 10402 11145 11795 11888 13480 14154 14860 15603 16176 17832 18872 20220 20804 22290 23590 26005 26960 28308 29720 31206 35385 35664 37744 40440 41608 44580 47180 52010 56616 59440 62412 70770 78015 80880 83216 89160 94360 104020 113232 124824 141540 156030 178320 188720 208040 249648 250391 283080 312060 416080 500782 566160 624120 751173 1001564 1248240 1251955 1502346 1752737 2003128 2503910 3004692 3505474 3755865 4006256 5007820 5258211 6009384 7010948 7511730 8763685 10015640 10516422 12018768 14021896 15023460 17527370 20031280 21032844 26291055 28043792 30046920 35054740 42065688 52582110 60093840 70109480 84131376 105164220 140218960 210328440 420656880