Search a number
-
+
116084332 = 227213291571
BaseRepresentation
bin1101110101101…
…00111001101100
322002102200202201
412322310321230
5214204144312
615304031244
72606462200
oct672647154
9262380681
10116084332
115a587971
1232a62524
131b085870
14115bab00
15a2d0557
hex6eb4e6c

116084332 has 72 divisors (see below), whose sum is σ = 263435760. Its totient is φ = 44311680.

The previous prime is 116084317. The next prime is 116084341. The reversal of 116084332 is 233480611.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 116084332.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73107 + ... + 74677.

It is an arithmetic number, because the mean of its divisors is an integer number (3658830).

Almost surely, 2116084332 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 116084332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131717880).

116084332 is an abundant number, since it is smaller than the sum of its proper divisors (147351428).

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

116084332 is a wasteful number, since it uses less digits than its factorization.

116084332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 116084332 is about 10774.2439177884. The cubic root of 116084332 is about 487.8180534200.

The spelling of 116084332 in words is "one hundred sixteen million, eighty-four thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 29 49 52 58 91 98 116 182 196 203 364 377 406 637 754 812 1274 1421 1508 1571 2548 2639 2842 3142 5278 5684 6284 10556 10997 18473 20423 21994 36946 40846 43988 45559 73892 76979 81692 91118 142961 153958 182236 285922 307916 318913 571844 592267 637826 1000727 1184534 1275652 2001454 2232391 2369068 4002908 4145869 4464782 8291738 8929564 16583476 29021083 58042166 116084332