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21057408 = 2735677
BaseRepresentation
bin101000001010…
…0111110000000
31110121211100000
41100110332000
520342314113
62031200000
7343661601
oct120247600
943554300
1021057408
1110982819
127076000
134493808
142b21da8
151cae373
hex1414f80

21057408 has 96 divisors (see below), whose sum is σ = 62931960. Its totient is φ = 7008768.

The previous prime is 21057341. The next prime is 21057419. The reversal of 21057408 is 80475012.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30766 + ... + 31442.

Almost surely, 221057408 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 21057408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31465980).

21057408 is an abundant number, since it is smaller than the sum of its proper divisors (41874552).

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

21057408 is an frugal number, since it uses more digits than its factorization.

21057408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 21057408 is about 4588.8351463089. The cubic root of 21057408 is about 276.1435925779.

The spelling of 21057408 in words is "twenty-one million, fifty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 677 864 972 1152 1296 1354 1728 1944 2031 2592 2708 3456 3888 4062 5184 5416 6093 7776 8124 10368 10832 12186 15552 16248 18279 21664 24372 31104 32496 36558 43328 48744 54837 64992 73116 86656 97488 109674 129984 146232 164511 194976 219348 259968 292464 329022 389952 438696 584928 658044 779904 877392 1169856 1316088 1754784 2339712 2632176 3509568 5264352 7019136 10528704 21057408