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27093040 = 24513109239
BaseRepresentation
bin110011101011…
…0100000110000
31212222110122221
41213112200300
523413434130
62404410424
7446200312
oct147264060
955873587
1027093040
1114325447
1290a6a14
1357c7ab0
1438537b2
1525a287a
hex19d6830

27093040 has 80 divisors (see below), whose sum is σ = 68745600. Its totient is φ = 9870336.

The previous prime is 27093029. The next prime is 27093043. The reversal of 27093040 is 4039072.

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

It is a junction number, because it is equal to n+sod(n) for n = 27092996 and 27093014.

It is not an unprimeable number, because it can be changed into a prime (27093043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113241 + ... + 113479.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 227093040 is an apocalyptic number.

27093040 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 27093040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372800).

27093040 is an abundant number, since it is smaller than the sum of its proper divisors (41652560).

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

27093040 is a wasteful number, since it uses less digits than its factorization.

27093040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 27093040 is about 5205.0975014883. The cubic root of 27093040 is about 300.3441975351.

The spelling of 27093040 in words is "twenty-seven million, ninety-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 109 130 208 218 239 260 436 478 520 545 872 956 1040 1090 1195 1417 1744 1912 2180 2390 2834 3107 3824 4360 4780 5668 6214 7085 8720 9560 11336 12428 14170 15535 19120 22672 24856 26051 28340 31070 49712 52102 56680 62140 104204 113360 124280 130255 208408 248560 260510 338663 416816 521020 677326 1042040 1354652 1693315 2084080 2709304 3386630 5418608 6773260 13546520 27093040