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421020096 = 26371718427
BaseRepresentation
bin11001000110000…
…100000111000000
31002100020000222220
4121012010013000
51330240120341
6105435531040
713301416560
oct3106040700
91070200886
10421020096
111a67226a2
12b8bb9a80
13692c1123
143dcb6da0
1526e66a66
hex191841c0

421020096 has 112 divisors (see below), whose sum is σ = 1348045056. Its totient is φ = 113209344.

The previous prime is 421020091. The next prime is 421020097. The reversal of 421020096 is 690020124.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421020091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13635 + ... + 32061.

Almost surely, 2421020096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674022528).

421020096 is an abundant number, since it is smaller than the sum of its proper divisors (927024960).

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

421020096 is a wasteful number, since it uses less digits than its factorization.

421020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18466 (or 18456 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 421020096 is about 20518.7742323951. The cubic root of 421020096 is about 749.4930476318.

The spelling of 421020096 in words is "four hundred twenty-one million, twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 5712 7616 11424 18427 22848 36854 55281 73708 110562 128989 147416 221124 257978 294832 313259 386967 442248 515956 589664 626518 773934 884496 939777 1031912 1179328 1253036 1547868 1768992 1879554 2063824 2192813 2506072 3095736 3537984 3759108 4127648 4385626 5012144 6191472 6578439 7518216 8255296 8771252 10024288 12382944 13156878 15036432 17542504 20048576 24765888 26313756 30072864 35085008 52627512 60145728 70170016 105255024 140340032 210510048 421020096