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21378672 = 24327127167
BaseRepresentation
bin101000110001…
…1011001110000
31111020011000200
41101203121300
520433104142
62042115200
7346500330
oct121433160
944204020
1021378672
1111082127
1271abb00
134576b03
142ba70c0
151d2464c
hex1463670

21378672 has 120 divisors (see below), whose sum is σ = 69328896. Its totient is φ = 6023808.

The previous prime is 21378659. The next prime is 21378683. The reversal of 21378672 is 27687312.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 127933 + ... + 128099.

Almost surely, 221378672 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 21378672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34664448).

21378672 is an abundant number, since it is smaller than the sum of its proper divisors (47950224).

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

21378672 is a wasteful number, since it uses less digits than its factorization.

21378672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 306 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 21378672 is about 4623.7076032120. The cubic root of 21378672 is about 277.5408461910.

The spelling of 21378672 in words is "twenty-one million, three hundred seventy-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 127 144 167 168 252 254 334 336 381 501 504 508 668 762 889 1002 1008 1016 1143 1169 1336 1503 1524 1778 2004 2032 2286 2338 2667 2672 3006 3048 3507 3556 4008 4572 4676 5334 6012 6096 7014 7112 8001 8016 9144 9352 10521 10668 12024 14028 14224 16002 18288 18704 21042 21209 21336 24048 28056 32004 42084 42418 42672 56112 63627 64008 84168 84836 127254 128016 148463 168336 169672 190881 254508 296926 339344 381762 445389 509016 593852 763524 890778 1018032 1187704 1336167 1527048 1781556 2375408 2672334 3054096 3563112 5344668 7126224 10689336 21378672