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21992960 = 29511271
BaseRepresentation
bin101001111100…
…1011000000000
31112101100200002
41103321120000
521112233320
62103215132
7354636263
oct123713000
945340602
1021992960
1111461700
1274474a8
1347305b2
142cc6cda
151de6675
hex14f9600

21992960 has 120 divisors (see below), whose sum is σ = 58777488. Its totient is φ = 7884800.

The previous prime is 21992947. The next prime is 21992989. The reversal of 21992960 is 6929912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309725 + ... + 309795.

Almost surely, 221992960 is an apocalyptic number.

21992960 is a gapful number since it is divisible by the number (20) 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 21992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29388744).

21992960 is an abundant number, since it is smaller than the sum of its proper divisors (36784528).

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

21992960 is an equidigital number, since it uses as much as digits as its factorization.

21992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 38.

The square root of 21992960 is about 4689.6652332549. The cubic root of 21992960 is about 280.1740414573.

The spelling of 21992960 in words is "twenty-one million, nine hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 71 80 88 110 121 128 142 160 176 220 242 256 284 320 352 355 440 484 512 568 605 640 704 710 781 880 968 1136 1210 1280 1408 1420 1562 1760 1936 2272 2420 2560 2816 2840 3124 3520 3872 3905 4544 4840 5632 5680 6248 7040 7744 7810 8591 9088 9680 11360 12496 14080 15488 15620 17182 18176 19360 22720 24992 28160 30976 31240 34364 36352 38720 42955 45440 49984 61952 62480 68728 77440 85910 90880 99968 124960 137456 154880 171820 181760 199936 249920 274912 309760 343640 399872 499840 549824 687280 999680 1099648 1374560 1999360 2199296 2749120 4398592 5498240 10996480 21992960