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421413900 = 2235213110723
BaseRepresentation
bin11001000111100…
…100010000001100
31002100222001012020
4121013210100030
51330340221100
6105452210140
713304646645
oct3107442014
91070861166
10421413900
111a6971556
12b9169950
13693cb44b
143dd7a6cc
1526ee35a0
hex191e440c

421413900 has 72 divisors (see below), whose sum is σ = 1228713024. Its totient is φ = 111508800.

The previous prime is 421413899. The next prime is 421413911. The reversal of 421413900 is 9314124.

It is a super-2 number, since 2×4214139002 = 355179350226420000, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 33939 + ... + 44661.

Almost surely, 2421413900 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 421413900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614356512).

421413900 is an abundant number, since it is smaller than the sum of its proper divisors (807299124).

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

421413900 is a wasteful number, since it uses less digits than its factorization.

421413900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10871 (or 10864 counting only the distinct ones).

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

The square root of 421413900 is about 20528.3681767451. The cubic root of 421413900 is about 749.7266559450.

The spelling of 421413900 in words is "four hundred twenty-one million, four hundred thirteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 131 150 262 300 393 524 655 786 1310 1572 1965 2620 3275 3930 6550 7860 9825 10723 13100 19650 21446 32169 39300 42892 53615 64338 107230 128676 160845 214460 268075 321690 536150 643380 804225 1072300 1404713 1608450 2809426 3216900 4214139 5618852 7023565 8428278 14047130 16856556 21070695 28094260 35117825 42141390 70235650 84282780 105353475 140471300 210706950 421413900