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21424704 = 263719839
BaseRepresentation
bin101000110111…
…0101001000000
31111022111011120
41101232221000
520441042304
62043112240
7350051460
oct121565100
944274146
1021424704
1111103774
127212680
134591a52
142bb9ba0
151d330d9
hex146ea40

21424704 has 112 divisors (see below), whose sum is σ = 68275200. Its totient is φ = 5792256.

The previous prime is 21424699. The next prime is 21424759. The reversal of 21424704 is 40742412.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 25117 + ... + 25955.

It is an arithmetic number, because the mean of its divisors is an integer number (609600).

Almost surely, 221424704 is an apocalyptic number.

21424704 is a gapful number since it is divisible by the number (24) 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 21424704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34137600).

21424704 is an abundant number, since it is smaller than the sum of its proper divisors (46850496).

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

21424704 is a wasteful number, since it uses less digits than its factorization.

21424704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 21424704 is about 4628.6827499841. The cubic root of 21424704 is about 277.7399013008.

The spelling of 21424704 in words is "twenty-one million, four hundred twenty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 839 912 1064 1216 1344 1596 1678 1824 2128 2517 3192 3356 3648 4256 5034 5873 6384 6712 8512 10068 11746 12768 13424 15941 17619 20136 23492 25536 26848 31882 35238 40272 46984 47823 53696 63764 70476 80544 93968 95646 111587 127528 140952 161088 187936 191292 223174 255056 281904 334761 375872 382584 446348 510112 563808 669522 765168 892696 1020224 1127616 1339044 1530336 1785392 2678088 3060672 3570784 5356176 7141568 10712352 21424704