Search a number
-
+
118912896 = 2732109947
BaseRepresentation
bin1110001011001…
…11011110000000
322021202101211100
413011213132000
5220420203041
615444414400
72642512554
oct705473600
9267671740
10118912896
116113a023
12339a7400
131b83617b
1411b15864
15a68d6b6
hex7167780

118912896 has 96 divisors (see below), whose sum is σ = 345688200. Its totient is φ = 39232512.

The previous prime is 118912891. The next prime is 118912939. The reversal of 118912896 is 698219811.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118912891) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 125095 + ... + 126041.

Almost surely, 2118912896 is an apocalyptic number.

118912896 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 118912896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172844100).

118912896 is an abundant number, since it is smaller than the sum of its proper divisors (226775304).

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

118912896 is a wasteful number, since it uses less digits than its factorization.

118912896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1061 counting only the distinct ones).

The product of its digits is 62208, while the sum is 45.

The square root of 118912896 is about 10904.7189784973. The cubic root of 118912896 is about 491.7484337564.

The spelling of 118912896 in words is "one hundred eighteen million, nine hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 109 128 144 192 218 288 327 384 436 576 654 872 947 981 1152 1308 1744 1894 1962 2616 2841 3488 3788 3924 5232 5682 6976 7576 7848 8523 10464 11364 13952 15152 15696 17046 20928 22728 30304 31392 34092 41856 45456 60608 62784 68184 90912 103223 121216 125568 136368 181824 206446 272736 309669 363648 412892 545472 619338 825784 929007 1090944 1238676 1651568 1858014 2477352 3303136 3716028 4954704 6606272 7432056 9909408 13212544 14864112 19818816 29728224 39637632 59456448 118912896