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27700380 = 2234517099
BaseRepresentation
bin110100110101…
…0110010011100
31221010022210000
41221222302130
524042403010
62425414300
7454310061
oct151526234
957108700
1027700380
11146aa784
12933a390
13597b376
143970c68
1526727c0
hex1a6ac9c

27700380 has 60 divisors (see below), whose sum is σ = 86902200. Its totient is φ = 7386336.

The previous prime is 27700373. The next prime is 27700399. The reversal of 27700380 is 8300772.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×277003802 = 1534622104288800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 6930 + ... + 10169.

It is an arithmetic number, because the mean of its divisors is an integer number (1448370).

Almost surely, 227700380 is an apocalyptic number.

27700380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27700380 is an abundant number, since it is smaller than the sum of its proper divisors (59201820).

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

27700380 is a wasteful number, since it uses less digits than its factorization.

27700380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17120 (or 17109 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 27700380 is about 5263.1150471940. The cubic root of 27700380 is about 302.5718882945.

The spelling of 27700380 in words is "twenty-seven million, seven hundred thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 17099 34198 51297 68396 85495 102594 153891 170990 205188 256485 307782 341980 461673 512970 615564 769455 923346 1025940 1385019 1538910 1846692 2308365 2770038 3077820 4616730 5540076 6925095 9233460 13850190 27700380