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27080676 = 22337113317
BaseRepresentation
bin110011101001…
…1011111100100
31212221211201000
41213103133210
523413040201
62404233300
7446116260
oct147233744
955854630
1027080676
1114317127
12909b830
1357c228c
14384d0a0
15259dd86
hex19d37e4

27080676 has 96 divisors (see below), whose sum is σ = 81204480. Its totient is φ = 7644672.

The previous prime is 27080621. The next prime is 27080689. The reversal of 27080676 is 67608072.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 27080676.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85270 + ... + 85586.

It is an arithmetic number, because the mean of its divisors is an integer number (845880).

Almost surely, 227080676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27080676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40602240).

27080676 is an abundant number, since it is smaller than the sum of its proper divisors (54123804).

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

27080676 is a wasteful number, since it uses less digits than its factorization.

27080676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 27080676 is about 5203.9096840741. The cubic root of 27080676 is about 300.2985028882.

The spelling of 27080676 in words is "twenty-seven million, eighty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 113 126 189 226 252 317 339 378 452 634 678 756 791 951 1017 1268 1356 1582 1902 2034 2219 2373 2853 3051 3164 3804 4068 4438 4746 5706 6102 6657 7119 8559 8876 9492 11412 12204 13314 14238 17118 19971 21357 26628 28476 34236 35821 39942 42714 59913 71642 79884 85428 107463 119826 143284 214926 239652 250747 322389 429852 501494 644778 752241 967167 1002988 1289556 1504482 1934334 2256723 3008964 3868668 4513446 6770169 9026892 13540338 27080676