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411396920 = 235113792467
BaseRepresentation
bin11000100001010…
…110101100111000
31001200010010110222
4120201112230320
51320304200140
6104453355212
713123546634
oct3041265470
91050103428
10411396920
111a124a660
12b5938b08
1367301c3c
143c8cddc4
15261b55b5
hex18856b38

411396920 has 64 divisors (see below), whose sum is σ = 1012867200. Its totient is φ = 149143680.

The previous prime is 411396919. The next prime is 411396967. The reversal of 411396920 is 29693114.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 165527 + ... + 167993.

It is an arithmetic number, because the mean of its divisors is an integer number (15826050).

Almost surely, 2411396920 is an apocalyptic number.

411396920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411396920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506433600).

411396920 is an abundant number, since it is smaller than the sum of its proper divisors (601470280).

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

411396920 is a wasteful number, since it uses less digits than its factorization.

411396920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 411396920 is about 20282.9218802420. The cubic root of 411396920 is about 743.7386400355.

The spelling of 411396920 in words is "four hundred eleven million, three hundred ninety-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 379 440 758 1516 1895 2467 3032 3790 4169 4934 7580 8338 9868 12335 15160 16676 19736 20845 24670 27137 33352 41690 49340 54274 83380 98680 108548 135685 166760 217096 271370 542740 934993 1085480 1869986 3739972 4674965 7479944 9349930 10284923 18699860 20569846 37399720 41139692 51424615 82279384 102849230 205698460 411396920