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21542640 = 2435712823
BaseRepresentation
bin101001000101…
…1011011110000
31111112110221120
41102023123300
521003331030
62045422240
7351052350
oct122133360
944473846
1021542640
1111184339
12726a980
134603632
142c0ab60
151d58010
hex148b6f0

21542640 has 80 divisors (see below), whose sum is σ = 76328448. Its totient is φ = 4923648.

The previous prime is 21542639. The next prime is 21542663. The reversal of 21542640 is 4624512.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 21542640.

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, 4732 + ... + 8091.

Almost surely, 221542640 is an apocalyptic number.

21542640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21542640 is an abundant number, since it is smaller than the sum of its proper divisors (54785808).

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

21542640 is a wasteful number, since it uses less digits than its factorization.

21542640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12846 (or 12840 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 21542640 is about 4641.4049597078. The cubic root of 21542640 is about 278.2485915382.

The spelling of 21542640 in words is "twenty-one million, five hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 12823 25646 38469 51292 64115 76938 89761 102584 128230 153876 179522 192345 205168 256460 269283 307752 359044 384690 448805 512920 538566 615504 718088 769380 897610 1025840 1077132 1346415 1436176 1538760 1795220 2154264 2692830 3077520 3590440 4308528 5385660 7180880 10771320 21542640