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21314540 = 22513731123
BaseRepresentation
bin101000101001…
…1101111101100
31111002220001102
41101103233230
520424031130
62040502232
7346112342
oct121235754
944086042
1021314540
1111038a25
12717a978
134553870
142b8b992
151d10645
hex1453bec

21314540 has 48 divisors (see below), whose sum is σ = 48907488. Its totient is φ = 7755264.

The previous prime is 21314497. The next prime is 21314543. The reversal of 21314540 is 4541312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21314543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18419 + ... + 19541.

It is an arithmetic number, because the mean of its divisors is an integer number (1018906).

Almost surely, 221314540 is an apocalyptic number.

21314540 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 21314540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24453744).

21314540 is an abundant number, since it is smaller than the sum of its proper divisors (27592948).

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

21314540 is a wasteful number, since it uses less digits than its factorization.

21314540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 21314540 is about 4616.7672672553. The cubic root of 21314540 is about 277.2630447540.

Adding to 21314540 its reverse (4541312), we get a palindrome (25855852).

The spelling of 21314540 in words is "twenty-one million, three hundred fourteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 730 949 1123 1460 1898 2246 3796 4492 4745 5615 9490 11230 14599 18980 22460 29198 58396 72995 81979 145990 163958 291980 327916 409895 819790 1065727 1639580 2131454 4262908 5328635 10657270 21314540