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21213960 = 23351710399
BaseRepresentation
bin101000011101…
…1001100001000
31110220210002020
41100323030020
520412321320
62034404440
7345213165
oct120731410
943823066
1021213960
1110a7a3a9
127130720
134519b51
142b6306c
151ce0940
hex143b308

21213960 has 64 divisors (see below), whose sum is σ = 67392000. Its totient is φ = 5323776.

The previous prime is 21213947. The next prime is 21213971. The reversal of 21213960 is 6931212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21213960.

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, 3160 + ... + 7239.

It is an arithmetic number, because the mean of its divisors is an integer number (1053000).

Almost surely, 221213960 is an apocalyptic number.

21213960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21213960 is an abundant number, since it is smaller than the sum of its proper divisors (46178040).

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

21213960 is a wasteful number, since it uses less digits than its factorization.

21213960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10430 (or 10426 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 21213960 is about 4605.8614829367. The cubic root of 21213960 is about 276.8262365566.

The spelling of 21213960 in words is "twenty-one million, two hundred thirteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 10399 20798 31197 41596 51995 62394 83192 103990 124788 155985 176783 207980 249576 311970 353566 415960 530349 623940 707132 883915 1060698 1247880 1414264 1767830 2121396 2651745 3535660 4242792 5303490 7071320 10606980 21213960