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21419136 = 273218593
BaseRepresentation
bin101000110110…
…1010010000000
31111022012112100
41101231102000
520440403021
62043030400
7350026314
oct121552200
944265470
1021419136
11110aa572
12720b400
13458c35b
142bb7b44
151d31626
hex146d480

21419136 has 48 divisors (see below), whose sum is σ = 61639110. Its totient is φ = 7139328.

The previous prime is 21419131. The next prime is 21419143. The reversal of 21419136 is 63191412.

It can be written as a sum of positive squares in only one way, i.e., 17640000 + 3779136 = 4200^2 + 1944^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (21419131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8145 + ... + 10448.

Almost surely, 221419136 is an apocalyptic number.

It is an amenable number.

21419136 is an abundant number, since it is smaller than the sum of its proper divisors (40219974).

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

21419136 is a wasteful number, since it uses less digits than its factorization.

21419136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18613 (or 18598 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 21419136 is about 4628.0812438850. The cubic root of 21419136 is about 277.7158388951.

The spelling of 21419136 in words is "twenty-one million, four hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 18593 37186 55779 74372 111558 148744 167337 223116 297488 334674 446232 594976 669348 892464 1189952 1338696 1784928 2379904 2677392 3569856 5354784 7139712 10709568 21419136