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118340096 = 29725389
BaseRepresentation
bin1110000110110…
…11101000000000
322020200022002112
413003123220000
5220243340341
615424234452
72634605600
oct703335000
9266608075
10118340096
1160888736
123376ba28
131b695534
1411a06c00
15a5c8aeb
hex70dba00

118340096 has 120 divisors (see below), whose sum is σ = 283391460. Its totient is φ = 49201152.

The previous prime is 118340087. The next prime is 118340137. The reversal of 118340096 is 690043811.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 118026496 + 313600 = 10864^2 + 560^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1329620 + ... + 1329708.

Almost surely, 2118340096 is an apocalyptic number.

118340096 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 118340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141695730).

118340096 is an abundant number, since it is smaller than the sum of its proper divisors (165051364).

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

118340096 is an frugal number, since it uses more digits than its factorization.

118340096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 118340096 is about 10878.4234151829. The cubic root of 118340096 is about 490.9575832049.

The spelling of 118340096 in words is "one hundred eighteen million, three hundred forty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 64 89 98 106 112 128 178 196 212 224 256 356 371 392 424 448 512 623 712 742 784 848 896 1246 1424 1484 1568 1696 1792 2492 2597 2848 2968 3136 3392 3584 4361 4717 4984 5194 5696 5936 6272 6784 8722 9434 9968 10388 11392 11872 12544 13568 17444 18868 19936 20776 22784 23744 25088 27136 33019 34888 37736 39872 41552 45568 47488 66038 69776 75472 79744 83104 94976 132076 139552 150944 159488 166208 189952 231133 264152 279104 301888 318976 332416 462266 528304 558208 603776 664832 924532 1056608 1116416 1207552 1329664 1849064 2113216 2232832 2415104 3698128 4226432 7396256 8452864 14792512 16905728 29585024 59170048 118340096