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21164528 = 2471141419
BaseRepresentation
bin101000010111…
…1000111110000
31110211021021102
41100233013300
520404231103
62033343532
7344616110
oct120570760
943737242
1021164528
1110a46250
127107ba8
1345004b8
142b4d040
151cd0e88
hex142f1f0

21164528 has 80 divisors (see below), whose sum is σ = 52496640. Its totient is φ = 8025600.

The previous prime is 21164509. The next prime is 21164567. The reversal of 21164528 is 82546112.

Its product of digits (3840) is a multiple of the sum of its prime divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 21164528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50303 + ... + 50721.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 221164528 is an apocalyptic number.

21164528 is a gapful number since it is divisible by the number (28) 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 21164528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26248320).

21164528 is an abundant number, since it is smaller than the sum of its proper divisors (31332112).

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

21164528 is a wasteful number, since it uses less digits than its factorization.

21164528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 480 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 21164528 is about 4600.4921475860. The cubic root of 21164528 is about 276.6110525140.

The spelling of 21164528 in words is "twenty-one million, one hundred sixty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 41 44 56 77 82 88 112 154 164 176 287 308 328 419 451 574 616 656 838 902 1148 1232 1676 1804 2296 2933 3157 3352 3608 4592 4609 5866 6314 6704 7216 9218 11732 12628 17179 18436 23464 25256 32263 34358 36872 46928 50512 64526 68716 73744 120253 129052 137432 188969 240506 258104 274864 377938 481012 516208 755876 962024 1322783 1511752 1924048 2645566 3023504 5291132 10582264 21164528