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21128952 = 23313241281
BaseRepresentation
bin101000010011…
…0011011111000
31110202110110210
41100212123320
520402111302
62032511120
7344410305
oct120463370
943673423
1021128952
1110a21549
1270ab4a0
1344ba250
142b400ac
151cc566c
hex14266f8

21128952 has 64 divisors (see below), whose sum is σ = 57324960. Its totient is φ = 6451200.

The previous prime is 21128941. The next prime is 21128957. The reversal of 21128952 is 25982112.

It is a super-2 number, since 2×211289522 = 892865225236608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21128957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75052 + ... + 75332.

Almost surely, 221128952 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 21128952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28662480).

21128952 is an abundant number, since it is smaller than the sum of its proper divisors (36196008).

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

21128952 is a wasteful number, since it uses less digits than its factorization.

21128952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 540 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 21128952 is about 4596.6239785303. The cubic root of 21128952 is about 276.4559780454.

The spelling of 21128952 in words is "twenty-one million, one hundred twenty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 241 281 312 482 562 723 843 964 1124 1446 1686 1928 2248 2892 3133 3372 3653 5784 6266 6744 7306 9399 10959 12532 14612 18798 21918 25064 29224 37596 43836 67721 75192 87672 135442 203163 270884 406326 541768 812652 880373 1625304 1760746 2641119 3521492 5282238 7042984 10564476 21128952