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21156960 = 2535114007
BaseRepresentation
bin101000010110…
…1010001100000
31110210212220010
41100231101200
520404010320
62033244520
7344555046
oct120552140
943725803
1021156960
1110a405a0
127103740
1344c9c16
142b4a396
151ccdae0
hex142d460

21156960 has 96 divisors (see below), whose sum is σ = 72721152. Its totient is φ = 5127680.

The previous prime is 21156953. The next prime is 21157039. The reversal of 21156960 is 6965112.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3277 + ... + 7283.

It is an arithmetic number, because the mean of its divisors is an integer number (757512).

Almost surely, 221156960 is an apocalyptic number.

21156960 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 21156960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36360576).

21156960 is an abundant number, since it is smaller than the sum of its proper divisors (51564192).

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

21156960 is a wasteful number, since it uses less digits than its factorization.

21156960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 21156960 is about 4599.6695533484. The cubic root of 21156960 is about 276.5780784419.

The spelling of 21156960 in words is "twenty-one million, one hundred fifty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 4007 5280 8014 12021 16028 20035 24042 32056 40070 44077 48084 60105 64112 80140 88154 96168 120210 128224 132231 160280 176308 192336 220385 240420 264462 320560 352616 384672 440770 480840 528924 641120 661155 705232 881540 961680 1057848 1322310 1410464 1763080 1923360 2115696 2644620 3526160 4231392 5289240 7052320 10578480 21156960