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21305472 = 273113491
BaseRepresentation
bin101000101000…
…1100010000000
31111002102121120
41101101202000
520423233342
62040352240
7346044036
oct121214200
944072546
1021305472
1111032131
127175680
13454c6b6
142b88556
151d0caec
hex1451880

21305472 has 64 divisors (see below), whose sum is σ = 57209760. Its totient is φ = 7024640.

The previous prime is 21305461. The next prime is 21305483. The reversal of 21305472 is 27450312.

It is an interprime number because it is at equal distance from previous prime (21305461) and next prime (21305483).

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43147 + ... + 43637.

Almost surely, 221305472 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 21305472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28604880).

21305472 is an abundant number, since it is smaller than the sum of its proper divisors (35904288).

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

21305472 is a wasteful number, since it uses less digits than its factorization.

21305472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 21305472 is about 4615.7850903178. The cubic root of 21305472 is about 277.2237198312.

Adding to 21305472 its reverse (27450312), we get a palindrome (48755784).

The spelling of 21305472 in words is "twenty-one million, three hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 339 384 452 491 678 904 982 1356 1473 1808 1964 2712 2946 3616 3928 5424 5892 7232 7856 10848 11784 14464 15712 21696 23568 31424 43392 47136 55483 62848 94272 110966 166449 188544 221932 332898 443864 665796 887728 1331592 1775456 2663184 3550912 5326368 7101824 10652736 21305472