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27428700 = 22352132541
BaseRepresentation
bin110100010100…
…0011101011100
31220121112002210
41220220131130
524010204300
62415520420
7452066025
oct150503534
956545083
1027428700
1114534652
129229110
1358b4800
1438ddc4c
15261c050
hex1a2875c

27428700 has 108 divisors (see below), whose sum is σ = 86093448. Its totient is φ = 6739200.

The previous prime is 27428699. The next prime is 27428741. The reversal of 27428700 is 782472.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50430 + ... + 50970.

Almost surely, 227428700 is an apocalyptic number.

27428700 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 27428700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43046724).

27428700 is an abundant number, since it is smaller than the sum of its proper divisors (58664748).

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

27428700 is a wasteful number, since it uses less digits than its factorization.

27428700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 27428700 is about 5237.2416404058. The cubic root of 27428700 is about 301.5794476681.

The spelling of 27428700 in words is "twenty-seven million, four hundred twenty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 169 195 260 300 325 338 390 507 541 650 676 780 845 975 1014 1082 1300 1623 1690 1950 2028 2164 2535 2705 3246 3380 3900 4225 5070 5410 6492 7033 8115 8450 10140 10820 12675 13525 14066 16230 16900 21099 25350 27050 28132 32460 35165 40575 42198 50700 54100 70330 81150 84396 91429 105495 140660 162300 175825 182858 210990 274287 351650 365716 421980 457145 527475 548574 703300 914290 1054950 1097148 1371435 1828580 2109900 2285725 2742870 4571450 5485740 6857175 9142900 13714350 27428700