Search a number
-
+
109881696 = 2532921361
BaseRepresentation
bin1101000110010…
…10100101100000
321122202120100110
412203022211200
5211112203241
614523051320
72502656541
oct643124540
9248676313
10109881696
1157030821
1230970b40
13199c3572
14108444c8
1599a7816
hex68ca960

109881696 has 72 divisors (see below), whose sum is σ = 298948104. Its totient is φ = 35338240.

The previous prime is 109881683. The next prime is 109881703. The reversal of 109881696 is 696188901.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80056 + ... + 81416.

It is an arithmetic number, because the mean of its divisors is an integer number (4152057).

Almost surely, 2109881696 is an apocalyptic number.

109881696 is a gapful number since it is divisible by the number (16) 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 109881696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149474052).

109881696 is an abundant number, since it is smaller than the sum of its proper divisors (189066408).

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

109881696 is a wasteful number, since it uses less digits than its factorization.

109881696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 109881696 is about 10482.4470425564. The cubic root of 109881696 is about 478.9701531402.

The spelling of 109881696 in words is "one hundred nine million, eight hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 841 928 1361 1392 1682 2523 2722 2784 3364 4083 5046 5444 6728 8166 10092 10888 13456 16332 20184 21776 26912 32664 39469 40368 43552 65328 78938 80736 118407 130656 157876 236814 315752 473628 631504 947256 1144601 1263008 1894512 2289202 3433803 3789024 4578404 6867606 9156808 13735212 18313616 27470424 36627232 54940848 109881696