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420238290 = 235232272683
BaseRepresentation
bin11001000011000…
…101001111010010
31002021202022120010
4121003011033102
51330040111130
6105411055350
713261652343
oct3103051722
91067668503
10420238290
111a623927a
12b88a1556
13690a9314
143db520ca
1526d600b0
hex190c53d2

420238290 has 64 divisors (see below), whose sum is σ = 1057453056. Its totient is φ = 106679232.

The previous prime is 420238277. The next prime is 420238309. The reversal of 420238290 is 92832024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155289 + ... + 157971.

It is an arithmetic number, because the mean of its divisors is an integer number (16522704).

Almost surely, 2420238290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420238290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528726528).

420238290 is an abundant number, since it is smaller than the sum of its proper divisors (637214766).

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

420238290 is a wasteful number, since it uses less digits than its factorization.

420238290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 420238290 is about 20499.7143882543. The cubic root of 420238290 is about 749.0288407869.

The spelling of 420238290 in words is "four hundred twenty million, two hundred thirty-eight thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 227 230 345 454 681 690 1135 1362 2270 2683 3405 5221 5366 6810 8049 10442 13415 15663 16098 26105 26830 31326 40245 52210 61709 78315 80490 123418 156630 185127 308545 370254 609041 617090 925635 1218082 1827123 1851270 3045205 3654246 6090410 9135615 14007943 18271230 28015886 42023829 70039715 84047658 140079430 210119145 420238290