Search a number
-
+
27201096 = 2334133229
BaseRepresentation
bin110011111000…
…0111001001000
31220011221220000
41213300321020
523430413341
62411003000
7450130326
oct147607110
956157800
1027201096
111439964a
129139460
135835030
143880d16
1525c48b6
hex19f0e48

27201096 has 80 divisors (see below), whose sum is σ = 82074300. Its totient is φ = 8366976.

The previous prime is 27201091. The next prime is 27201113. The reversal of 27201096 is 69010272.

It can be written as a sum of positive squares in 2 ways, for example, as 24860196 + 2340900 = 4986^2 + 1530^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (27201091) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6810 + ... + 10038.

Almost surely, 227201096 is an apocalyptic number.

27201096 is a gapful number since it is divisible by the number (26) 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 27201096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41037150).

27201096 is an abundant number, since it is smaller than the sum of its proper divisors (54873204).

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

27201096 is a wasteful number, since it uses less digits than its factorization.

27201096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 27201096 is about 5215.4669973071. The cubic root of 27201096 is about 300.7429585232.

The spelling of 27201096 in words is "twenty-seven million, two hundred one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 3229 4212 6458 8424 9687 12916 19374 25832 29061 38748 41977 58122 77496 83954 87183 116244 125931 167908 174366 232488 251862 261549 335816 348732 377793 503724 523098 697464 755586 1007448 1046196 1133379 1511172 2092392 2266758 3022344 3400137 4533516 6800274 9067032 13600548 27201096