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27694020 = 223517191429
BaseRepresentation
bin110100110100…
…1001111000100
31221010000001110
41221221033010
524042202040
62425325020
7454252404
oct151511704
957100043
1027694020
11146a5a22
129336770
1359784c3
14396c804
152670980
hex1a693c4

27694020 has 96 divisors (see below), whose sum is σ = 86486400. Its totient is φ = 6580224.

The previous prime is 27693979. The next prime is 27694031. The reversal of 27694020 is 2049672.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 18666 + ... + 20094.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 227694020 is an apocalyptic number.

27694020 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 27694020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43243200).

27694020 is an abundant number, since it is smaller than the sum of its proper divisors (58792380).

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

27694020 is a wasteful number, since it uses less digits than its factorization.

27694020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 27694020 is about 5262.5108075899. The cubic root of 27694020 is about 302.5487297132.

The spelling of 27694020 in words is "twenty-seven million, six hundred ninety-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 380 510 570 646 969 1020 1140 1292 1429 1615 1938 2858 3230 3876 4287 4845 5716 6460 7145 8574 9690 14290 17148 19380 21435 24293 27151 28580 42870 48586 54302 72879 81453 85740 97172 108604 121465 135755 145758 162906 242930 271510 291516 325812 364395 407265 461567 485860 543020 728790 814530 923134 1384701 1457580 1629060 1846268 2307835 2769402 4615670 5538804 6923505 9231340 13847010 27694020