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21397120 = 27567499
BaseRepresentation
bin101000110011…
…1111010000000
31111021002022221
41101213322000
520434201440
62042340424
7346605163
oct121477200
944232287
1021397120
1111094a78
1271ba714
134582324
142badada
151d29d4a
hex1467e80

21397120 has 64 divisors (see below), whose sum is σ = 52020000. Its totient is φ = 8414208.

The previous prime is 21397093. The next prime is 21397139. The reversal of 21397120 is 2179312.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42631 + ... + 43129.

Almost surely, 221397120 is an apocalyptic number.

21397120 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 21397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26010000).

21397120 is an abundant number, since it is smaller than the sum of its proper divisors (30622880).

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

21397120 is an equidigital number, since it uses as much as digits as its factorization.

21397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 21397120 is about 4625.7021088695. The cubic root of 21397120 is about 277.6206547264.

The spelling of 21397120 in words is "twenty-one million, three hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 268 320 335 499 536 640 670 998 1072 1340 1996 2144 2495 2680 3992 4288 4990 5360 7984 8576 9980 10720 15968 19960 21440 31936 33433 39920 42880 63872 66866 79840 133732 159680 167165 267464 319360 334330 534928 668660 1069856 1337320 2139712 2674640 4279424 5349280 10698560 21397120