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21482920 = 23519231229
BaseRepresentation
bin101000111110…
…0110110101000
31111102110000201
41101330312220
520444423140
62044241544
7350413264
oct121746650
944373021
1021482920
1111143488
1272402b4
1345b23b4
142bd30a4
151d4549a
hex147cda8

21482920 has 64 divisors (see below), whose sum is σ = 53136000. Its totient is φ = 7780608.

The previous prime is 21482899. The next prime is 21482927. The reversal of 21482920 is 2928412.

It is not an unprimeable number, because it can be changed into a prime (21482927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16866 + ... + 18094.

It is an arithmetic number, because the mean of its divisors is an integer number (830250).

Almost surely, 221482920 is an apocalyptic number.

21482920 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 21482920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26568000).

21482920 is an abundant number, since it is smaller than the sum of its proper divisors (31653080).

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

21482920 is a wasteful number, since it uses less digits than its factorization.

21482920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 21482920 is about 4634.9670980493. The cubic root of 21482920 is about 277.9912355120.

The spelling of 21482920 in words is "twenty-one million, four hundred eighty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 115 152 184 190 230 380 437 460 760 874 920 1229 1748 2185 2458 3496 4370 4916 6145 8740 9832 12290 17480 23351 24580 28267 46702 49160 56534 93404 113068 116755 141335 186808 226136 233510 282670 467020 537073 565340 934040 1074146 1130680 2148292 2685365 4296584 5370730 10741460 21482920