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21408192 = 263313953
BaseRepresentation
bin101000110101…
…0100111000000
31111021122112000
41101222213000
520440030232
62042504000
7346652361
oct121524700
944248460
1021408192
11110a2323
127205000
134587390
142bb3b68
151d2d27c
hex146a9c0

21408192 has 112 divisors (see below), whose sum is σ = 67848480. Its totient is φ = 6580224.

The previous prime is 21408181. The next prime is 21408227. The reversal of 21408192 is 29180412.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 21988 + ... + 22940.

It is an arithmetic number, because the mean of its divisors is an integer number (605790).

Almost surely, 221408192 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 21408192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33924240).

21408192 is an abundant number, since it is smaller than the sum of its proper divisors (46440288).

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

21408192 is a wasteful number, since it uses less digits than its factorization.

21408192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 21408192 is about 4626.8987453801. The cubic root of 21408192 is about 277.6685316659.

The spelling of 21408192 in words is "twenty-one million, four hundred eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 953 1248 1404 1728 1872 1906 2496 2808 2859 3744 3812 5616 5718 7488 7624 8577 11232 11436 12389 15248 17154 22464 22872 24778 25731 30496 34308 37167 45744 49556 51462 60992 68616 74334 91488 99112 102924 111501 137232 148668 182976 198224 205848 223002 274464 297336 334503 396448 411696 446004 548928 594672 669006 792896 823392 892008 1189344 1338012 1646784 1784016 2378688 2676024 3568032 5352048 7136064 10704096 21408192