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21368832 = 21233747
BaseRepresentation
bin101000110000…
…1000000000000
31111012122112020
41101201000000
520432300312
62042001440
7346426542
oct121410000
944178466
1021368832
11110757a1
1271a6280
1345724a4
142ba3692
151d2178c
hex1461000

21368832 has 104 divisors (see below), whose sum is σ = 59761536. Its totient is φ = 6782976.

The previous prime is 21368821. The next prime is 21368843. The reversal of 21368832 is 23886312.

It is an interprime number because it is at equal distance from previous prime (21368821) and next prime (21368843).

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

It is a junction number, because it is equal to n+sod(n) for n = 21368793 and 21368802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454633 + ... + 454679.

Almost surely, 221368832 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 21368832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29880768).

21368832 is an abundant number, since it is smaller than the sum of its proper divisors (38392704).

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

21368832 is an equidigital number, since it uses as much as digits as its factorization.

21368832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 21368832 is about 4622.6433996146. The cubic root of 21368832 is about 277.4982582473.

The spelling of 21368832 in words is "twenty-one million, three hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 47 48 64 74 94 96 111 128 141 148 188 192 222 256 282 296 376 384 444 512 564 592 752 768 888 1024 1128 1184 1504 1536 1739 1776 2048 2256 2368 3008 3072 3478 3552 4096 4512 4736 5217 6016 6144 6956 7104 9024 9472 10434 12032 12288 13912 14208 18048 18944 20868 24064 27824 28416 36096 37888 41736 48128 55648 56832 72192 75776 83472 96256 111296 113664 144384 151552 166944 192512 222592 227328 288768 333888 445184 454656 577536 667776 890368 1335552 1780736 2671104 3561472 5342208 7122944 10684416 21368832