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21150828 = 2233376779
BaseRepresentation
bin101000010101…
…1110001101100
31110210120111000
41100223301230
520403311303
62033200300
7344531136
oct120536154
943716430
1021150828
1110a36a26
127100090
1344c71aa
142b48056
151ccbda3
hex142bc6c

21150828 has 96 divisors (see below), whose sum is σ = 57881600. Its totient is φ = 6671808.

The previous prime is 21150827. The next prime is 21150841. The reversal of 21150828 is 82805112.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21150821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267693 + ... + 267771.

Almost surely, 221150828 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 21150828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28940800).

21150828 is an abundant number, since it is smaller than the sum of its proper divisors (36730772).

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

21150828 is a wasteful number, since it uses less digits than its factorization.

21150828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 21150828 is about 4599.0029354198. The cubic root of 21150828 is about 276.5513553107.

Subtracting from 21150828 its sum of digits (27), we obtain a square (21150801 = 45992).

The spelling of 21150828 in words is "twenty-one million, one hundred fifty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 67 74 79 108 111 134 148 158 201 222 237 268 316 333 402 444 474 603 666 711 804 948 999 1206 1332 1422 1809 1998 2133 2412 2479 2844 2923 3618 3996 4266 4958 5293 5846 7236 7437 8532 8769 9916 10586 11692 14874 15879 17538 21172 22311 26307 29748 31758 35076 44622 47637 52614 63516 66933 78921 89244 95274 105228 133866 142911 157842 190548 195841 267732 285822 315684 391682 571644 587523 783364 1175046 1762569 2350092 3525138 5287707 7050276 10575414 21150828