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21879072 = 253423367
BaseRepresentation
bin101001101110…
…1100100100000
31112011120110000
41103131210200
521100112242
62100540000
7353653245
oct123354440
945146400
1021879072
1111394086
1273b1600
1346c07c7
142c975cc
151dc2a4c
hex14dd920

21879072 has 120 divisors (see below), whose sum is σ = 67326336. Its totient is φ = 6956928.

The previous prime is 21879047. The next prime is 21879083. The reversal of 21879072 is 27097812.

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

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 19 ways as a sum of consecutive naturals, for example, 59433 + ... + 59799.

Almost surely, 221879072 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 21879072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33663168).

21879072 is an abundant number, since it is smaller than the sum of its proper divisors (45447264).

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

21879072 is a wasteful number, since it uses less digits than its factorization.

21879072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 21879072 is about 4677.5070283218. The cubic root of 21879072 is about 279.6895879727.

The spelling of 21879072 in words is "twenty-one million, eight hundred seventy-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 367 368 414 432 552 621 648 734 736 828 864 1101 1104 1242 1296 1468 1656 1863 2202 2208 2484 2592 2936 3303 3312 3726 4404 4968 5872 6606 6624 7452 8441 8808 9909 9936 11744 13212 14904 16882 17616 19818 19872 25323 26424 29727 29808 33764 35232 39636 50646 52848 59454 59616 67528 75969 79272 101292 105696 118908 135056 151938 158544 202584 227907 237816 270112 303876 317088 405168 455814 475632 607752 683721 810336 911628 951264 1215504 1367442 1823256 2431008 2734884 3646512 5469768 7293024 10939536 21879072