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420598770 = 23547317941
BaseRepresentation
bin11001000100011…
…101001111110010
31002022102122001020
4121010131033302
51330133130040
6105422520310
713265013324
oct3104351762
91068378036
10420598770
111a6465099
12b8a36096
13691a4417
143dc07614
1526dd1cd0
hex1911d3f2

420598770 has 64 divisors (see below), whose sum is σ = 1035265536. Its totient is φ = 109310720.

The previous prime is 420598733. The next prime is 420598807. The reversal of 420598770 is 77895024.

It is an interprime number because it is at equal distance from previous prime (420598733) and next prime (420598807).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446500 + ... + 447440.

It is an arithmetic number, because the mean of its divisors is an integer number (16176024).

Almost surely, 2420598770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420598770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517632768).

420598770 is an abundant number, since it is smaller than the sum of its proper divisors (614666766).

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

420598770 is a wasteful number, since it uses less digits than its factorization.

420598770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315.

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 420598770 is about 20508.5048211711. The cubic root of 420598770 is about 749.2429516497.

The spelling of 420598770 in words is "four hundred twenty million, five hundred ninety-eight thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 317 470 634 705 941 951 1410 1585 1882 1902 2823 3170 4705 4755 5646 9410 9510 14115 14899 28230 29798 44227 44697 74495 88454 89394 132681 148990 221135 223485 265362 298297 442270 446970 596594 663405 894891 1326810 1491485 1789782 2982970 4474455 8948910 14019959 28039918 42059877 70099795 84119754 140199590 210299385 420598770