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21248136 = 23337132347
BaseRepresentation
bin101000100001…
…1100010001000
31110222111222000
41101003202020
520414420021
62035231000
7345414630
oct121034210
943874860
1021248136
1110aa3048
127148460
13452c580
142b716c0
151ceab26
hex1443888

21248136 has 256 divisors, whose sum is σ = 77414400. Its totient is φ = 5246208.

The previous prime is 21248119. The next prime is 21248153. The reversal of 21248136 is 63184212.

21248136 = T344 + T345 + ... + T551.

It is an interprime number because it is at equal distance from previous prime (21248119) and next prime (21248153).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 452065 + ... + 452111.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 221248136 is an apocalyptic number.

21248136 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 21248136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38707200).

21248136 is an abundant number, since it is smaller than the sum of its proper divisors (56166264).

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

21248136 is a wasteful number, since it uses less digits than its factorization.

21248136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 95 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 21248136 is about 4609.5700450259. The cubic root of 21248136 is about 276.9748138378.

The spelling of 21248136 in words is "twenty-one million, two hundred forty-eight thousand, one hundred thirty-six".