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21374640 = 2432574241
BaseRepresentation
bin101000110001…
…0011010110000
31111012221111100
41101202122300
520432442030
62042044400
7346452510
oct121423260
944187440
1021374640
111107a0a1
1271a9700
134575021
142ba5840
151d23360
hex14626b0

21374640 has 120 divisors (see below), whose sum is σ = 82057248. Its totient is φ = 4884480.

The previous prime is 21374611. The next prime is 21374657. The reversal of 21374640 is 4647312.

21374640 is a `hidden beast` number, since 2 + 13 + 7 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2920 + ... + 7160.

Almost surely, 221374640 is an apocalyptic number.

21374640 is a gapful number since it is divisible by the number (20) 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 21374640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41028624).

21374640 is an abundant number, since it is smaller than the sum of its proper divisors (60682608).

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

21374640 is a wasteful number, since it uses less digits than its factorization.

21374640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4267 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 21374640 is about 4623.2715689217. The cubic root of 21374640 is about 277.5233971020.

The spelling of 21374640 in words is "twenty-one million, three hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 4241 5040 8482 12723 16964 21205 25446 29687 33928 38169 42410 50892 59374 63615 67856 76338 84820 89061 101784 118748 127230 148435 152676 169640 178122 190845 203568 237496 254460 267183 296870 305352 339280 356244 381690 445305 474992 508920 534366 593740 610704 712488 763380 890610 1017840 1068732 1187480 1335915 1424976 1526760 1781220 2137464 2374960 2671830 3053520 3562440 4274928 5343660 7124880 10687320 21374640