Search a number
-
+
116755044 = 223722941167
BaseRepresentation
bin1101111010110…
…00101001100100
322010200202210220
412331120221210
5214342130134
615330244340
72615254500
oct675305144
9263622726
10116755044
115a9a587a
12331266b0
131b25bc33
1411713300
15a3b4149
hex6f58a64

116755044 has 144 divisors (see below), whose sum is σ = 337841280. Its totient is φ = 31234560.

The previous prime is 116755039. The next prime is 116755049. The reversal of 116755044 is 440557611.

It is an interprime number because it is at equal distance from previous prime (116755039) and next prime (116755049).

It is a junction number, because it is equal to n+sod(n) for n = 116754996 and 116755014.

It is not an unprimeable number, because it can be changed into a prime (116755049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 699049 + ... + 699215.

It is an arithmetic number, because the mean of its divisors is an integer number (2346120).

Almost surely, 2116755044 is an apocalyptic number.

116755044 is a gapful number since it is divisible by the number (14) 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 116755044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920640).

116755044 is an abundant number, since it is smaller than the sum of its proper divisors (221086236).

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

116755044 is a wasteful number, since it uses less digits than its factorization.

116755044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 116755044 is about 10805.3247984501. The cubic root of 116755044 is about 488.7557547568.

The spelling of 116755044 in words is "one hundred sixteen million, seven hundred fifty-five thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 41 42 49 58 82 84 87 98 116 123 147 164 167 174 196 203 246 287 294 334 348 406 492 501 574 588 609 668 812 861 1002 1148 1169 1189 1218 1421 1722 2004 2009 2338 2378 2436 2842 3444 3507 3567 4018 4263 4676 4756 4843 5684 6027 6847 7014 7134 8036 8183 8323 8526 9686 12054 13694 14028 14268 14529 16366 16646 17052 19372 20541 24108 24549 24969 27388 29058 32732 33292 33901 41082 47929 49098 49938 58116 58261 67802 82164 95858 98196 99876 101703 116522 135604 143787 174783 191716 198563 203406 233044 237307 287574 335503 349566 397126 406812 474614 575148 595689 671006 699132 711921 794252 949228 1006509 1191378 1342012 1389941 1423842 2013018 2382756 2779882 2847684 4026036 4169823 5559764 8339646 9729587 16679292 19459174 29188761 38918348 58377522 116755044