Search a number
-
+
118012896 = 2533137997
BaseRepresentation
bin1110000100010…
…11101111100000
322020001200021000
413002023233200
5220202403041
615413232000
72632043631
oct702135740
9266050230
10118012896
1160684921
1233632600
131b5ac621
141195d888
15a561bb6
hex708bbe0

118012896 has 96 divisors (see below), whose sum is σ = 347064480. Its totient is φ = 39011328.

The previous prime is 118012889. The next prime is 118012913. The reversal of 118012896 is 698210811.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 118012896.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117870 + ... + 118866.

It is an arithmetic number, because the mean of its divisors is an integer number (3615255).

Almost surely, 2118012896 is an apocalyptic number.

118012896 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 118012896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173532240).

118012896 is an abundant number, since it is smaller than the sum of its proper divisors (229051584).

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

118012896 is a wasteful number, since it uses less digits than its factorization.

118012896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 118012896 is about 10863.3740614967. The cubic root of 118012896 is about 490.5046806313.

The spelling of 118012896 in words is "one hundred eighteen million, twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 137 144 216 274 288 411 432 548 822 864 997 1096 1233 1644 1994 2192 2466 2991 3288 3699 3988 4384 4932 5982 6576 7398 7976 8973 9864 11964 13152 14796 15952 17946 19728 23928 26919 29592 31904 35892 39456 47856 53838 59184 71784 95712 107676 118368 136589 143568 215352 273178 287136 409767 430704 546356 819534 861408 1092712 1229301 1639068 2185424 2458602 3278136 3687903 4370848 4917204 6556272 7375806 9834408 13112544 14751612 19668816 29503224 39337632 59006448 118012896