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420242238 = 2321379127179
BaseRepresentation
bin11001000011000…
…110001100111110
31002021202111222100
4121003012030332
51330040222423
6105411125530
713262000013
oct3103061476
91067674870
10420242238
111a6241239
12b88a38a6
13690ab060
143db5370a
1526d61343
hex190c633e

420242238 has 96 divisors (see below), whose sum is σ = 1006387200. Its totient is φ = 125955648.

The previous prime is 420242233. The next prime is 420242243. The reversal of 420242238 is 832242024.

420242238 is a `hidden beast` number, since 4 + 202 + 422 + 38 = 666.

It is an interprime number because it is at equal distance from previous prime (420242233) and next prime (420242243).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420242233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2347633 + ... + 2347811.

It is an arithmetic number, because the mean of its divisors is an integer number (10483200).

Almost surely, 2420242238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420242238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503193600).

420242238 is an abundant number, since it is smaller than the sum of its proper divisors (586144962).

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

420242238 is a wasteful number, since it uses less digits than its factorization.

420242238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 420242238 is about 20499.8106820527. The cubic root of 420242238 is about 749.0311864058.

The spelling of 420242238 in words is "four hundred twenty million, two hundred forty-two thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 79 117 127 158 179 234 237 254 358 381 474 537 711 762 1027 1074 1143 1422 1611 1651 2054 2286 2327 3081 3222 3302 4654 4953 6162 6981 9243 9906 10033 13962 14141 14859 18486 20066 20943 22733 28282 29718 30099 41886 42423 45466 60198 68199 84846 90297 127269 130429 136398 180594 183833 204597 254538 260858 295529 367666 391287 409194 551499 591058 782574 886587 1102998 1173861 1654497 1773174 1795907 2347722 2659761 3308994 3591814 5319522 5387721 10775442 16163163 23346791 32326326 46693582 70040373 140080746 210121119 420242238