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21712992 = 253779409
BaseRepresentation
bin101001011010…
…1000001100000
31111212010121220
41102311001200
521024303432
62053215040
7352362120
oct122650140
944763556
1021712992
1111290324
127331480
134663032
142c52c80
151d8d72c
hex14b5060

21712992 has 96 divisors (see below), whose sum is σ = 66124800. Its totient is φ = 6110208.

The previous prime is 21712981. The next prime is 21713009. The reversal of 21712992 is 29921712.

It is a tau number, because it is divible by the number of its divisors (96).

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, 52884 + ... + 53292.

It is an arithmetic number, because the mean of its divisors is an integer number (688800).

Almost surely, 221712992 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 21712992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33062400).

21712992 is an abundant number, since it is smaller than the sum of its proper divisors (44411808).

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

21712992 is a wasteful number, since it uses less digits than its factorization.

21712992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 500 counting only the distinct ones).

The product of its digits is 4536, while the sum is 33.

The square root of 21712992 is about 4659.7201632716. The cubic root of 21712992 is about 278.9800990417.

The spelling of 21712992 in words is "twenty-one million, seven hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 79 84 96 112 158 168 224 237 316 336 409 474 553 632 672 818 948 1106 1227 1264 1636 1659 1896 2212 2454 2528 2863 3272 3318 3792 4424 4908 5726 6544 6636 7584 8589 8848 9816 11452 13088 13272 17178 17696 19632 22904 26544 32311 34356 39264 45808 53088 64622 68712 91616 96933 129244 137424 193866 226177 258488 274848 387732 452354 516976 678531 775464 904708 1033952 1357062 1550928 1809416 2714124 3101856 3618832 5428248 7237664 10856496 21712992