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21079872 = 2633111109
BaseRepresentation
bin101000001101…
…0011101000000
31110122222011000
41100122131000
520344023442
62031452000
7344114232
oct120323500
943588130
1021079872
1110998690
127087000
1344a0ac8
142b2a252
151cb5d4c
hex141a740

21079872 has 112 divisors (see below), whose sum is σ = 67665600. Its totient is φ = 6382080.

The previous prime is 21079867. The next prime is 21079879. The reversal of 21079872 is 27897012.

It is a super-2 number, since 2×210798722 = 888722007072768, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21079879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18454 + ... + 19562.

Almost surely, 221079872 is an apocalyptic number.

21079872 is a gapful number since it is divisible by the number (22) 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 21079872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33832800).

21079872 is an abundant number, since it is smaller than the sum of its proper divisors (46585728).

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

21079872 is a wasteful number, since it uses less digits than its factorization.

21079872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1125 counting only the distinct ones).

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

The square root of 21079872 is about 4591.2821738595. The cubic root of 21079872 is about 276.2417541542.

The spelling of 21079872 in words is "twenty-one million, seventy-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1109 1188 1584 1728 2112 2218 2376 3168 3327 4436 4752 6336 6654 8872 9504 9981 12199 13308 17744 19008 19962 24398 26616 29943 35488 36597 39924 48796 53232 59886 70976 73194 79848 97592 106464 109791 119772 146388 159696 195184 212928 219582 239544 292776 319392 329373 390368 439164 479088 585552 638784 658746 780736 878328 958176 1171104 1317492 1756656 1916352 2342208 2634984 3513312 5269968 7026624 10539936 21079872