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21375640 = 235111337101
BaseRepresentation
bin101000110001…
…0101010011000
31111012222212101
41101202222120
520433010030
62042053144
7346455436
oct121425230
944188771
1021375640
111107a920
1271aa1b4
134575610
142ba5d56
151d237ca
hex1462a98

21375640 has 128 divisors (see below), whose sum is σ = 58605120. Its totient is φ = 6912000.

The previous prime is 21375631. The next prime is 21375659. The reversal of 21375640 is 4657312.

It is a junction number, because it is equal to n+sod(n) for n = 21375599 and 21375608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211590 + ... + 211690.

Almost surely, 221375640 is an apocalyptic number.

21375640 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 21375640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29302560).

21375640 is an abundant number, since it is smaller than the sum of its proper divisors (37229480).

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

21375640 is a wasteful number, since it uses less digits than its factorization.

21375640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 21375640 is about 4623.3797161817. The cubic root of 21375640 is about 277.5277249576.

It can be divided in two parts, 2137 and 5640, that added together give a palindrome (7777).

The spelling of 21375640 in words is "twenty-one million, three hundred seventy-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 37 40 44 52 55 65 74 88 101 104 110 130 143 148 185 202 220 260 286 296 370 404 407 440 481 505 520 572 715 740 808 814 962 1010 1111 1144 1313 1430 1480 1628 1924 2020 2035 2222 2405 2626 2860 3256 3737 3848 4040 4070 4444 4810 5252 5291 5555 5720 6565 7474 8140 8888 9620 10504 10582 11110 13130 14443 14948 16280 18685 19240 21164 22220 26260 26455 28886 29896 37370 41107 42328 44440 48581 52520 52910 57772 72215 74740 82214 97162 105820 115544 144430 149480 164428 194324 205535 211640 242905 288860 328856 388648 411070 485810 534391 577720 822140 971620 1068782 1644280 1943240 2137564 2671955 4275128 5343910 10687820 21375640