Search a number
-
+
27775020 = 22357135087
BaseRepresentation
bin110100111110…
…1000000101100
31221021010011110
41221331000230
524102300040
62431152020
7455040510
oct151750054
957233143
1027775020
1114750869
129375610
1359a6330
143990140
152689980
hex1a7d02c

27775020 has 96 divisors (see below), whose sum is σ = 95735808. Its totient is φ = 5859072.

The previous prime is 27775003. The next prime is 27775043. The reversal of 27775020 is 2057772.

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, 2917 + ... + 8003.

It is an arithmetic number, because the mean of its divisors is an integer number (997248).

Almost surely, 227775020 is an apocalyptic number.

27775020 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 27775020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47867904).

27775020 is an abundant number, since it is smaller than the sum of its proper divisors (67960788).

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

27775020 is a wasteful number, since it uses less digits than its factorization.

27775020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5119 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 30.

The square root of 27775020 is about 5270.2011346817. The cubic root of 27775020 is about 302.8434093774.

The spelling of 27775020 in words is "twenty-seven million, seven hundred seventy-five thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5087 5460 10174 15261 20348 25435 30522 35609 50870 61044 66131 71218 76305 101740 106827 132262 142436 152610 178045 198393 213654 264524 305220 330655 356090 396786 427308 462917 534135 661310 712180 793572 925834 991965 1068270 1322620 1388751 1851668 1983930 2136540 2314585 2777502 3967860 4629170 5555004 6943755 9258340 13887510 27775020