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21425760 = 2532514879
BaseRepresentation
bin101000110111…
…0111001100000
31111022112121200
41101232321200
520441111020
62043121200
7350054526
oct121567140
944275550
1021425760
1111104544
127213200
134592385
142bba316
151d33590
hex146ee60

21425760 has 72 divisors (see below), whose sum is σ = 73120320. Its totient is φ = 5713152.

The previous prime is 21425759. The next prime is 21425773. The reversal of 21425760 is 6752412.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×214257603 (a number of 23 digits) contains 333 as substring.

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, 6000 + ... + 8879.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 221425760 is an apocalyptic number.

21425760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21425760 is an abundant number, since it is smaller than the sum of its proper divisors (51694560).

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

21425760 is a wasteful number, since it uses less digits than its factorization.

21425760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14900 (or 14889 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 21425760 is about 4628.7968199090. The cubic root of 21425760 is about 277.7444643901.

The spelling of 21425760 in words is "twenty-one million, four hundred twenty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 14879 29758 44637 59516 74395 89274 119032 133911 148790 178548 223185 238064 267822 297580 357096 446370 476128 535644 595160 669555 714192 892740 1071288 1190320 1339110 1428384 1785480 2142576 2380640 2678220 3570960 4285152 5356440 7141920 10712880 21425760