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420710238 = 232133159983
BaseRepresentation
bin11001000100111…
…000011101011110
31002022122021221200
4121010320131132
51330200211423
6105425140330
713265656314
oct3104703536
91068567850
10420710238
111a6530913
12b8a8a6a6
1369213090
143dc360b4
1526e04d43
hex1913875e

420710238 has 96 divisors (see below), whose sum is σ = 1031546880. Its totient is φ = 123024960.

The previous prime is 420710201. The next prime is 420710249. The reversal of 420710238 is 832017024.

420710238 is a `hidden beast` number, since 420 + 7 + 1 + 0 + 238 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427495 + ... + 428477.

It is an arithmetic number, because the mean of its divisors is an integer number (10745280).

Almost surely, 2420710238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420710238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515773440).

420710238 is an abundant number, since it is smaller than the sum of its proper divisors (610836642).

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

420710238 is a wasteful number, since it uses less digits than its factorization.

420710238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 420710238 is about 20511.2222453953. Note that the first 4 decimals coincide. The cubic root of 420710238 is about 749.3091344685.

The spelling of 420710238 in words is "four hundred twenty million, seven hundred ten thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 31 39 59 62 78 93 117 118 177 186 234 279 354 403 531 558 767 806 983 1062 1209 1534 1829 1966 2301 2418 2949 3627 3658 4602 5487 5898 6903 7254 8847 10974 12779 13806 16461 17694 23777 25558 30473 32922 38337 47554 57997 60946 71331 76674 91419 115011 115994 142662 173991 182838 213993 230022 274257 347982 396149 427986 521973 548514 753961 792298 1043946 1188447 1507922 1797907 2261883 2376894 3565341 3595814 4523766 5393721 6785649 7130682 10787442 13571298 16181163 23372791 32362326 46745582 70118373 140236746 210355119 420710238