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21138432 = 21037983
BaseRepresentation
bin101000010100…
…0110000000000
31110202221110220
41100220300000
520402412212
62033023040
7344450040
oct120506000
943687426
1021138432
1110a28687
1270b4a80
1344c1663
142b43720
151cc838c
hex1428c00

21138432 has 88 divisors (see below), whose sum is σ = 64455936. Its totient is φ = 6033408.

The previous prime is 21138427. The next prime is 21138437. The reversal of 21138432 is 23483112.

It is an interprime number because it is at equal distance from previous prime (21138427) and next prime (21138437).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21138437) 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, 21013 + ... + 21995.

Almost surely, 221138432 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 21138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32227968).

21138432 is an abundant number, since it is smaller than the sum of its proper divisors (43317504).

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

21138432 is an equidigital number, since it uses as much as digits as its factorization.

21138432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 995 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 21138432 is about 4597.6550544816. The cubic root of 21138432 is about 276.4973180167.

The spelling of 21138432 in words is "twenty-one million, one hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 983 1024 1344 1536 1792 1966 2688 2949 3072 3584 3932 5376 5898 6881 7168 7864 10752 11796 13762 15728 20643 21504 23592 27524 31456 41286 47184 55048 62912 82572 94368 110096 125824 165144 188736 220192 251648 330288 377472 440384 503296 660576 754944 880768 1006592 1321152 1509888 1761536 2642304 3019776 3523072 5284608 7046144 10569216 21138432