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21024792 = 23331947109
BaseRepresentation
bin101000000110…
…1000000011000
31110120011121000
41100031000120
520340243132
62030345000
7343464525
oct120150030
943504530
1021024792
1110960268
12705b160
134481a09
142b1414c
151ca487c
hex140d018

21024792 has 128 divisors (see below), whose sum is σ = 63360000. Its totient is φ = 6438528.

The previous prime is 21024761. The next prime is 21024793. The reversal of 21024792 is 29742012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21024793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192834 + ... + 192942.

It is an arithmetic number, because the mean of its divisors is an integer number (495000).

Almost surely, 221024792 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 21024792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31680000).

21024792 is an abundant number, since it is smaller than the sum of its proper divisors (42335208).

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

21024792 is a wasteful number, since it uses less digits than its factorization.

21024792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 21024792 is about 4585.2799260241. The cubic root of 21024792 is about 276.0009451763. Note that the first 3 decimals are identical.

The spelling of 21024792 in words is "twenty-one million, twenty-four thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 47 54 57 72 76 94 108 109 114 141 152 171 188 216 218 228 282 327 342 376 423 436 456 513 564 654 684 846 872 893 981 1026 1128 1269 1308 1368 1692 1786 1962 2052 2071 2538 2616 2679 2943 3384 3572 3924 4104 4142 5076 5123 5358 5886 6213 7144 7848 8037 8284 10152 10246 10716 11772 12426 15369 16074 16568 18639 20492 21432 23544 24111 24852 30738 32148 37278 40984 46107 48222 49704 55917 61476 64296 74556 92214 96444 97337 111834 122952 138321 149112 184428 192888 194674 223668 276642 292011 368856 389348 447336 553284 584022 778696 876033 1106568 1168044 1752066 2336088 2628099 3504132 5256198 7008264 10512396 21024792