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27021040 = 2451929613
BaseRepresentation
bin110011100010…
…0111011110000
31212211210220021
41213010323300
523404133130
62403053224
7445450354
oct147047360
955753807
1027021040
1114286342
129071214
1357a10a7
143835464
15258b37a
hex19c4ef0

27021040 has 80 divisors (see below), whose sum is σ = 68522400. Its totient is φ = 9870336.

The previous prime is 27021037. The next prime is 27021047. The reversal of 27021040 is 4012072.

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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27021047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43774 + ... + 44386.

It is an arithmetic number, because the mean of its divisors is an integer number (856530).

Almost surely, 227021040 is an apocalyptic number.

27021040 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 27021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34261200).

27021040 is an abundant number, since it is smaller than the sum of its proper divisors (41501360).

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

27021040 is a wasteful number, since it uses less digits than its factorization.

27021040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 27021040 is about 5198.1766033870. The cubic root of 27021040 is about 300.0779056932.

The spelling of 27021040 in words is "twenty-seven million, twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 29 38 40 58 76 80 95 116 145 152 190 232 290 304 380 464 551 580 613 760 1102 1160 1226 1520 2204 2320 2452 2755 3065 4408 4904 5510 6130 8816 9808 11020 11647 12260 17777 22040 23294 24520 35554 44080 46588 49040 58235 71108 88885 93176 116470 142216 177770 186352 232940 284432 337763 355540 465880 675526 711080 931760 1351052 1422160 1688815 2702104 3377630 5404208 6755260 13510520 27021040