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412939020 = 223513631839
BaseRepresentation
bin11000100111001…
…111001100001100
31001210000110211210
4120213033030030
51321203022040
6104550414420
713142631564
oct3047171414
91053013753
10412939020
111a210321a
12b6361410
1367721b20
143cbb1da4
15263bc480
hex189cf30c

412939020 has 96 divisors (see below), whose sum is σ = 1248629760. Its totient is φ = 101364480.

The previous prime is 412939013. The next prime is 412939031. The reversal of 412939020 is 20939214.

It is a super-3 number, since 3×4129390203 (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491761 + ... + 492599.

It is an arithmetic number, because the mean of its divisors is an integer number (13006560).

Almost surely, 2412939020 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 412939020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624314880).

412939020 is an abundant number, since it is smaller than the sum of its proper divisors (835690740).

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

412939020 is a wasteful number, since it uses less digits than its factorization.

412939020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 412939020 is about 20320.9010626990. The cubic root of 412939020 is about 744.6667698797. Note that the first 3 decimals are identical.

The spelling of 412939020 in words is "four hundred twelve million, nine hundred thirty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 631 780 839 1262 1678 1893 2517 2524 3155 3356 3786 4195 5034 6310 7572 8203 8390 9465 10068 10907 12585 12620 16406 16780 18930 21814 24609 25170 32721 32812 37860 41015 43628 49218 50340 54535 65442 82030 98436 109070 123045 130884 163605 164060 218140 246090 327210 492180 529409 654420 1058818 1588227 2117636 2647045 3176454 5294090 6352908 6882317 7941135 10588180 13764634 15882270 20646951 27529268 31764540 34411585 41293902 68823170 82587804 103234755 137646340 206469510 412939020