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21540456 = 2332779541
BaseRepresentation
bin101001000101…
…0111001101000
31111112100221200
41102022321220
521003243311
62045404200
7351043110
oct122127150
944470850
1021540456
1111182733
127269660
134602642
142c0a040
151d57556
hex148ae68

21540456 has 96 divisors (see below), whose sum is σ = 67641600. Its totient is φ = 6065280.

The previous prime is 21540439. The next prime is 21540473. The reversal of 21540456 is 65404512.

It is an interprime number because it is at equal distance from previous prime (21540439) and next prime (21540473).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39546 + ... + 40086.

It is an arithmetic number, because the mean of its divisors is an integer number (704600).

Almost surely, 221540456 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 21540456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33820800).

21540456 is an abundant number, since it is smaller than the sum of its proper divisors (46101144).

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

21540456 is a wasteful number, since it uses less digits than its factorization.

21540456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 21540456 is about 4641.1696801561. The cubic root of 21540456 is about 278.2391882422.

Adding to 21540456 its reverse (65404512), we get a palindrome (86944968).

The spelling of 21540456 in words is "twenty-one million, five hundred forty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 79 84 126 158 168 237 252 316 474 504 541 553 632 711 948 1082 1106 1422 1623 1659 1896 2164 2212 2844 3246 3318 3787 4328 4424 4869 4977 5688 6492 6636 7574 9738 9954 11361 12984 13272 15148 19476 19908 22722 30296 34083 38952 39816 42739 45444 68166 85478 90888 128217 136332 170956 256434 272664 299173 341912 384651 512868 598346 769302 897519 1025736 1196692 1538604 1795038 2393384 2692557 3077208 3590076 5385114 7180152 10770228 21540456