Search a number
-
+
109291488 = 25329371061
BaseRepresentation
bin1101000001110…
…10011111100000
321121122120201220
412200322133200
5210434311423
614502255040
72464651035
oct640723740
9247576656
10109291488
1156768349
1230727480
1319847a27
141072d38c
1598dc9e3
hex683a7e0

109291488 has 96 divisors (see below), whose sum is σ = 305091360. Its totient is φ = 34191360.

The previous prime is 109291433. The next prime is 109291489. The reversal of 109291488 is 884192901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109291489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102478 + ... + 103538.

It is an arithmetic number, because the mean of its divisors is an integer number (3178035).

Almost surely, 2109291488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109291488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152545680).

109291488 is an abundant number, since it is smaller than the sum of its proper divisors (195799872).

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

109291488 is a wasteful number, since it uses less digits than its factorization.

109291488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 109291488 is about 10454.2569319871. The cubic root of 109291488 is about 478.1110483519. Note that the first 3 decimals are identical.

The spelling of 109291488 in words is "one hundred nine million, two hundred ninety-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 37 48 58 74 87 96 111 116 148 174 222 232 296 348 444 464 592 696 888 928 1061 1073 1184 1392 1776 2122 2146 2784 3183 3219 3552 4244 4292 6366 6438 8488 8584 12732 12876 16976 17168 25464 25752 30769 33952 34336 39257 50928 51504 61538 78514 92307 101856 103008 117771 123076 157028 184614 235542 246152 314056 369228 471084 492304 628112 738456 942168 984608 1138453 1256224 1476912 1884336 2276906 2953824 3415359 3768672 4553812 6830718 9107624 13661436 18215248 27322872 36430496 54645744 109291488