Search a number
-
+
111601984 = 2613314327
BaseRepresentation
bin1101010011011…
…10100101000000
321202222222010211
412221232211000
5212032230414
615024003504
72523413134
oct651564500
9252888124
10111601984
1157aa624a
1231460594
131a1765a0
1410b713c4
159be73c4
hex6a6e940

111601984 has 56 divisors (see below), whose sum is σ = 246245888. Its totient is φ = 49835520.

The previous prime is 111601969. The next prime is 111601999. The reversal of 111601984 is 489106111.

It is an interprime number because it is at equal distance from previous prime (111601969) and next prime (111601999).

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 23629 + ... + 27955.

It is an arithmetic number, because the mean of its divisors is an integer number (4397248).

Almost surely, 2111601984 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 111601984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123122944).

111601984 is an abundant number, since it is smaller than the sum of its proper divisors (134643904).

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

111601984 is a wasteful number, since it uses less digits than its factorization.

111601984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4383 (or 4373 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 31.

The square root of 111601984 is about 10564.1840196013. The cubic root of 111601984 is about 481.4567779766.

The spelling of 111601984 in words is "one hundred eleven million, six hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 208 248 403 416 496 806 832 992 1612 1984 3224 4327 6448 8654 12896 17308 25792 34616 56251 69232 112502 134137 138464 225004 268274 276928 450008 536548 900016 1073096 1743781 1800032 2146192 3487562 3600064 4292384 6975124 8584768 13950248 27900496 55800992 111601984