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21457580 = 2253153653
BaseRepresentation
bin101000111011…
…0101010101100
31111101011021012
41101312222230
520443120310
62043524352
7350246354
oct121665254
944334235
1021457580
1111126441
1272296b8
1345a39c1
142bc7b64
151d3cc05
hex1476aac

21457580 has 48 divisors (see below), whose sum is σ = 47464704. Its totient is φ = 8136960.

The previous prime is 21457523. The next prime is 21457603. The reversal of 21457580 is 8575412.

It is an unprimeable number.

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, 32534 + ... + 33186.

It is an arithmetic number, because the mean of its divisors is an integer number (988848).

Almost surely, 221457580 is an apocalyptic number.

21457580 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 21457580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23732352).

21457580 is an abundant number, since it is smaller than the sum of its proper divisors (26007124).

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

21457580 is a wasteful number, since it uses less digits than its factorization.

21457580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 21457580 is about 4632.2327229965. The cubic root of 21457580 is about 277.8818917573.

The spelling of 21457580 in words is "twenty-one million, four hundred fifty-seven thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 31 53 62 106 124 155 212 265 310 530 620 653 1060 1306 1643 2612 3265 3286 6530 6572 8215 13060 16430 20243 32860 34609 40486 69218 80972 101215 138436 173045 202430 346090 404860 692180 1072879 2145758 4291516 5364395 10728790 21457580