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21374496 = 25331113173
BaseRepresentation
bin101000110001…
…0011000100000
31111012221022000
41101202120200
520432440441
62042044000
7346452213
oct121423040
944187260
1021374496
1111079a80
1271a9600
134574c40
142ba577a
151d232b6
hex1462620

21374496 has 192 divisors, whose sum is σ = 73664640. Its totient is φ = 5944320.

The previous prime is 21374467. The next prime is 21374513. The reversal of 21374496 is 69447312.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (36288) is a multiple of the sum of its prime factors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 21374496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123466 + ... + 123638.

It is an arithmetic number, because the mean of its divisors is an integer number (383670).

Almost surely, 221374496 is an apocalyptic number.

21374496 is a gapful number since it is divisible by the number (26) 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 21374496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36832320).

21374496 is an abundant number, since it is smaller than the sum of its proper divisors (52290144).

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

21374496 is a wasteful number, since it uses less digits than its factorization.

21374496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 21374496 is about 4623.2559955079. The cubic root of 21374496 is about 277.5227738797.

The spelling of 21374496 in words is "twenty-one million, three hundred seventy-four thousand, four hundred ninety-six".