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21388512 = 253317187
BaseRepresentation
bin101000110010…
…1110011100000
31111020122112010
41101211303200
520433413022
62042232520
7346541115
oct121456340
944218463
1021388512
1111089562
1271b5740
13457b432
142baa90c
151d2750c
hex1465ce0

21388512 has 48 divisors (see below), whose sum is σ = 57964032. Its totient is φ = 6898560.

The previous prime is 21388469. The next prime is 21388517. The reversal of 21388512 is 21588312.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 21388512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21388517) by changing a digit.

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, 618 + ... + 6569.

It is an arithmetic number, because the mean of its divisors is an integer number (1207584).

Almost surely, 221388512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21388512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28982016).

21388512 is an abundant number, since it is smaller than the sum of its proper divisors (36575520).

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

21388512 is a wasteful number, since it uses less digits than its factorization.

21388512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7231 (or 7223 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 21388512 is about 4624.7715619261. The cubic root of 21388512 is about 277.5834210686.

The spelling of 21388512 in words is "twenty-one million, three hundred eighty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 7187 14374 21561 28748 43122 57496 86244 114992 172488 222797 229984 344976 445594 668391 689952 891188 1336782 1782376 2673564 3564752 5347128 7129504 10694256 21388512