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412196960 = 25571721649
BaseRepresentation
bin11000100100011…
…010000001100000
31001201121202221002
4120210122001200
51321010300320
6104522451132
713133421260
oct3044320140
91051552832
10412196960
111a174674a
12b6063aa8
1367522136
143ca5b7a0
15262c2675
hex1891a060

412196960 has 96 divisors (see below), whose sum is σ = 1178452800. Its totient is φ = 133005312.

The previous prime is 412196921. The next prime is 412196971. The reversal of 412196960 is 69691214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8216 + ... + 29864.

It is an arithmetic number, because the mean of its divisors is an integer number (12275550).

Almost surely, 2412196960 is an apocalyptic number.

412196960 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 412196960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589226400).

412196960 is an abundant number, since it is smaller than the sum of its proper divisors (766255840).

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

412196960 is a wasteful number, since it uses less digits than its factorization.

412196960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21688 (or 21680 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 412196960 is about 20302.6343118325. The cubic root of 412196960 is about 744.2204418659.

The spelling of 412196960 in words is "four hundred twelve million, one hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 340 476 544 560 595 680 952 1120 1190 1360 1904 2380 2720 3808 4760 9520 19040 21649 43298 86596 108245 151543 173192 216490 303086 346384 368033 432980 606172 692768 736066 757715 865960 1212344 1472132 1515430 1731920 1840165 2424688 2576231 2944264 3030860 3463840 3680330 4849376 5152462 5888528 6061720 7360660 10304924 11777056 12123440 12881155 14721320 20609848 24246880 25762310 29442640 41219696 51524620 58885280 82439392 103049240 206098480 412196960