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420708870 = 233523371831
BaseRepresentation
bin11001000100111…
…000001000000110
31002022122020002000
4121010320020012
51330200140440
6105425130130
713265652321
oct3104701006
91068566060
10420708870
111a652a88a
12b8a89946
136921257a
143dc357b8
1526e04730
hex19138206

420708870 has 128 divisors (see below), whose sum is σ = 1202964480. Its totient is φ = 104353920.

The previous prime is 420708857. The next prime is 420708917. The reversal of 420708870 is 78807024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228855 + ... + 230685.

It is an arithmetic number, because the mean of its divisors is an integer number (9398160).

Almost surely, 2420708870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420708870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601482240).

420708870 is an abundant number, since it is smaller than the sum of its proper divisors (782255610).

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

420708870 is a wasteful number, since it uses less digits than its factorization.

420708870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 420708870 is about 20511.1888977699. The cubic root of 420708870 is about 749.3083223054.

The spelling of 420708870 in words is "four hundred twenty million, seven hundred eight thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 37 45 46 54 69 74 90 111 115 135 138 185 207 222 230 270 333 345 370 414 555 621 666 690 851 999 1035 1110 1242 1665 1702 1831 1998 2070 2553 3105 3330 3662 4255 4995 5106 5493 6210 7659 8510 9155 9990 10986 12765 15318 16479 18310 22977 25530 27465 32958 38295 42113 45954 49437 54930 67747 76590 82395 84226 98874 114885 126339 135494 164790 203241 210565 229770 247185 252678 338735 379017 406482 421130 494370 609723 631695 677470 758034 1016205 1137051 1219446 1263390 1558181 1829169 1895085 2032410 2274102 3048615 3116362 3658338 3790170 4674543 5685255 6097230 7790905 9145845 9349086 11370510 14023629 15581810 18291690 23372715 28047258 42070887 46745430 70118145 84141774 140236290 210354435 420708870