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27312150 = 2352414441
BaseRepresentation
bin110100000110…
…0000000010110
31220101121020010
41220030000112
523442442100
62413221050
7451102155
oct150140026
956347203
1027312150
1114465028
129191786
135873748
1438ad59c
1525e7750
hex1a0c016

27312150 has 48 divisors (see below), whose sum is σ = 69401808. Its totient is φ = 7104000.

The previous prime is 27312133. The next prime is 27312151. The reversal of 27312150 is 5121372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27312151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3930 + ... + 8370.

It is an arithmetic number, because the mean of its divisors is an integer number (1445871).

Almost surely, 227312150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27312150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34700904).

27312150 is an abundant number, since it is smaller than the sum of its proper divisors (42089658).

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

27312150 is a wasteful number, since it uses less digits than its factorization.

27312150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 27312150 is about 5226.1027544433. The cubic root of 27312150 is about 301.1516841985.

The spelling of 27312150 in words is "twenty-seven million, three hundred twelve thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 123 150 205 246 410 615 1025 1230 2050 3075 4441 6150 8882 13323 22205 26646 44410 66615 111025 133230 182081 222050 333075 364162 546243 666150 910405 1092486 1820810 2731215 4552025 5462430 9104050 13656075 27312150