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21345760 = 255891499
BaseRepresentation
bin101000101101…
…1010111100000
31111011110212201
41101123113200
520431031020
62041302544
7346302352
oct121332740
944143781
1021345760
111105a427
127194a54
134564b37
142b990d2
151d19a0a
hex145b5e0

21345760 has 48 divisors (see below), whose sum is σ = 51030000. Its totient is φ = 8436736.

The previous prime is 21345757. The next prime is 21345767. The reversal of 21345760 is 6754312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21345767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13491 + ... + 14989.

It is an arithmetic number, because the mean of its divisors is an integer number (1063125).

Almost surely, 221345760 is an apocalyptic number.

21345760 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 21345760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25515000).

21345760 is an abundant number, since it is smaller than the sum of its proper divisors (29684240).

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

21345760 is a wasteful number, since it uses less digits than its factorization.

21345760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 21345760 is about 4620.1471838027. The cubic root of 21345760 is about 277.3983503465.

The spelling of 21345760 in words is "twenty-one million, three hundred forty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 712 890 1424 1499 1780 2848 2998 3560 5996 7120 7495 11992 14240 14990 23984 29980 47968 59960 119920 133411 239840 266822 533644 667055 1067288 1334110 2134576 2668220 4269152 5336440 10672880 21345760