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21945132 = 223211151367
BaseRepresentation
bin101001110110…
…1101100101100
31112021221001200
41103231230230
521104221012
62102205500
7354346656
oct123555454
945257050
1021945132
1111429780
127423890
1347148b1
142cb36d6
151dd73dc
hex14edb2c

21945132 has 72 divisors (see below), whose sum is σ = 61082112. Its totient is φ = 6588000.

The previous prime is 21945101. The next prime is 21945137. The reversal of 21945132 is 23154912.

It is a junction number, because it is equal to n+sod(n) for n = 21945096 and 21945105.

It is not an unprimeable number, because it can be changed into a prime (21945137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59613 + ... + 59979.

Almost surely, 221945132 is an apocalyptic number.

21945132 is a gapful number since it is divisible by the number (22) 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 21945132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30541056).

21945132 is an abundant number, since it is smaller than the sum of its proper divisors (39136980).

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

21945132 is a wasteful number, since it uses less digits than its factorization.

21945132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 534 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 21945132 is about 4684.5631599969. The cubic root of 21945132 is about 279.9707962739.

The spelling of 21945132 in words is "twenty-one million, nine hundred forty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 151 198 302 367 396 453 604 734 906 1101 1359 1468 1661 1812 2202 2718 3303 3322 4037 4404 4983 5436 6606 6644 8074 9966 12111 13212 14949 16148 19932 24222 29898 36333 48444 55417 59796 72666 110834 145332 166251 221668 332502 498753 609587 665004 997506 1219174 1828761 1995012 2438348 3657522 5486283 7315044 10972566 21945132