Search a number
-
+
109137888 = 2533126317
BaseRepresentation
bin1101000000101…
…00111111100000
321121100210001000
412200110333200
5210414403023
614455112000
72463441156
oct640247740
9247323030
10109137888
1156672a02
1230672600
13197c2b42
14106cd3d6
1598ac243
hex6814fe0

109137888 has 48 divisors (see below), whose sum is σ = 318321360. Its totient is φ = 36379008.

The previous prime is 109137869. The next prime is 109137961. The reversal of 109137888 is 888731901.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1091378882 = 23822157194201088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62295 + ... + 64022.

It is an arithmetic number, because the mean of its divisors is an integer number (6631695).

Almost surely, 2109137888 is an apocalyptic number.

109137888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

109137888 is an abundant number, since it is smaller than the sum of its proper divisors (209183472).

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

109137888 is a wasteful number, since it uses less digits than its factorization.

109137888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126336 (or 126322 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 109137888 is about 10446.9080593255. The cubic root of 109137888 is about 477.8869617104.

The spelling of 109137888 in words is "one hundred nine million, one hundred thirty-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 126317 252634 378951 505268 757902 1010536 1136853 1515804 2021072 2273706 3031608 3410559 4042144 4547412 6063216 6821118 9094824 12126432 13642236 18189648 27284472 36379296 54568944 109137888