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21514080 = 2535719337
BaseRepresentation
bin101001000010…
…0011101100000
31111111000202210
41102010131200
521001422310
62045042120
7350603160
oct122043540
944430683
1021514080
1111164935
127256340
1345c3633
142c005a0
151d4e820
hex1484760

21514080 has 192 divisors, whose sum is σ = 81768960. Its totient is φ = 4644864.

The previous prime is 21514079. The next prime is 21514081. The reversal of 21514080 is 8041512.

It is an interprime number because it is at equal distance from previous prime (21514079) and next prime (21514081).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21514081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63672 + ... + 64008.

It is an arithmetic number, because the mean of its divisors is an integer number (425880).

Almost surely, 221514080 is an apocalyptic number.

21514080 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 21514080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40884480).

21514080 is an abundant number, since it is smaller than the sum of its proper divisors (60254880).

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

21514080 is a wasteful number, since it uses less digits than its factorization.

21514080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 21514080 is about 4638.3272847008. The cubic root of 21514080 is about 278.1255751366.

Adding to 21514080 its reverse (8041512), we get a palindrome (29555592).

The spelling of 21514080 in words is "twenty-one million, five hundred fourteen thousand, eighty".