Search a number
-
+
118132992 = 2837211
BaseRepresentation
bin1110000101010…
…01000100000000
322020021210000000
413002221010000
5220220223432
615420000000
72633054025
oct702510400
9266253000
10118132992
116075707a
1233690000
131b6221a3
141199154c
15a58757c
hex70a9100

118132992 has 144 divisors (see below), whose sum is σ = 355328960. Its totient is φ = 39191040.

The previous prime is 118132969. The next prime is 118133003. The reversal of 118132992 is 299231811.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (7776) is a multiple of the sum of its prime divisors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559767 + ... + 559977.

Almost surely, 2118132992 is an apocalyptic number.

118132992 is a gapful number since it is divisible by the number (12) 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 118132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177664480).

118132992 is an abundant number, since it is smaller than the sum of its proper divisors (237195968).

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

118132992 is an frugal number, since it uses more digits than its factorization.

118132992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 216 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 118132992 is about 10868.9002203535. The cubic root of 118132992 is about 490.6710118288.

The spelling of 118132992 in words is "one hundred eighteen million, one hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 211 216 243 256 288 324 384 422 432 486 576 633 648 729 768 844 864 972 1152 1266 1296 1458 1688 1728 1899 1944 2187 2304 2532 2592 2916 3376 3456 3798 3888 4374 5064 5184 5697 5832 6752 6912 7596 7776 8748 10128 10368 11394 11664 13504 15192 15552 17091 17496 20256 20736 22788 23328 27008 30384 31104 34182 34992 40512 45576 46656 51273 54016 60768 62208 68364 69984 81024 91152 93312 102546 121536 136728 139968 153819 162048 182304 186624 205092 243072 273456 279936 307638 364608 410184 461457 486144 546912 559872 615276 729216 820368 922914 1093824 1230552 1458432 1640736 1845828 2187648 2461104 3281472 3691656 4375296 4922208 6562944 7383312 9844416 13125888 14766624 19688832 29533248 39377664 59066496 118132992