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420923412 = 223371342829
BaseRepresentation
bin11001000101101…
…100100000010100
31002100001010101000
4121011230200110
51330224022122
6105433503300
713300534650
oct3105544024
91070033330
10420923412
111a6666a98
12b8b71b30
1369289110
143dc8da60
1526e480ac
hex1916c814

420923412 has 96 divisors (see below), whose sum is σ = 1343148800. Its totient is φ = 111010176.

The previous prime is 420923411. The next prime is 420923441. The reversal of 420923412 is 214329024.

420923412 is a `hidden beast` number, since 420 + 9 + 234 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420923411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11587 + ... + 31242.

Almost surely, 2420923412 is an apocalyptic number.

420923412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

420923412 is an abundant number, since it is smaller than the sum of its proper divisors (922225388).

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

420923412 is a wasteful number, since it uses less digits than its factorization.

420923412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42862 (or 42854 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 420923412 is about 20516.4181084321. The cubic root of 420923412 is about 749.4356714843.

The spelling of 420923412 in words is "four hundred twenty million, nine hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 9828 42829 85658 128487 171316 256974 299803 385461 513948 556777 599606 770922 899409 1113554 1156383 1199212 1541844 1670331 1798818 2227108 2312766 2698227 3340662 3597636 3897439 4625532 5010993 5396454 6681324 7794878 8094681 10021986 10792908 11692317 15032979 15589756 16189362 20043972 23384634 30065958 32378724 35076951 46769268 60131916 70153902 105230853 140307804 210461706 420923412