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21075132 = 22313532549
BaseRepresentation
bin101000001100…
…1010010111100
31110122201122110
41100121102330
520343401012
62031414020
7344064351
oct120312274
943581573
1021075132
1110995071
127084310
13449b8c0
142b28628
151cb473c
hex14194bc

21075132 has 48 divisors (see below), whose sum is σ = 53978400. Its totient is φ = 6359808.

The previous prime is 21075113. The next prime is 21075137. The reversal of 21075132 is 23157012.

It is a super-2 number, since 2×210751322 = 888322377634848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21075099 and 21075108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21075137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6994 + ... + 9542.

It is an arithmetic number, because the mean of its divisors is an integer number (1124550).

Almost surely, 221075132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21075132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26989200).

21075132 is an abundant number, since it is smaller than the sum of its proper divisors (32903268).

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

21075132 is a wasteful number, since it uses less digits than its factorization.

21075132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 21075132 is about 4590.7659491636. The cubic root of 21075132 is about 276.2210474493.

The spelling of 21075132 in words is "twenty-one million, seventy-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 636 689 1378 2067 2549 2756 4134 5098 7647 8268 10196 15294 30588 33137 66274 99411 132548 135097 198822 270194 397644 405291 540388 810582 1621164 1756261 3512522 5268783 7025044 10537566 21075132