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118112256 = 2143489
BaseRepresentation
bin1110000101001…
…00000000000000
322020020201120000
413002210000000
5220214043011
615415320000
72632636413
oct702440000
9266221500
10118112256
1160742539
1233680000
131b615912
1411987b7a
15a581356
hex70a4000

118112256 has 150 divisors (see below), whose sum is σ = 356832630. Its totient is φ = 38928384.

The previous prime is 118112231. The next prime is 118112279. The reversal of 118112256 is 652211811.

It can be written as a sum of positive squares in only one way, i.e., 84934656 + 33177600 = 9216^2 + 5760^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1327060 + ... + 1327148.

Almost surely, 2118112256 is an apocalyptic number.

118112256 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 118112256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178416315).

118112256 is an abundant number, since it is smaller than the sum of its proper divisors (238720374).

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

118112256 is an frugal number, since it uses more digits than its factorization.

118112256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 94 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

The square root of 118112256 is about 10867.9462641292. The cubic root of 118112256 is about 490.6423008274.

The spelling of 118112256 in words is "one hundred eighteen million, one hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 89 96 108 128 144 162 178 192 216 256 267 288 324 356 384 432 512 534 576 648 712 768 801 864 1024 1068 1152 1296 1424 1536 1602 1728 2048 2136 2304 2403 2592 2848 3072 3204 3456 4096 4272 4608 4806 5184 5696 6144 6408 6912 7209 8192 8544 9216 9612 10368 11392 12288 12816 13824 14418 16384 17088 18432 19224 20736 22784 24576 25632 27648 28836 34176 36864 38448 41472 45568 49152 51264 55296 57672 68352 73728 76896 82944 91136 102528 110592 115344 136704 147456 153792 165888 182272 205056 221184 230688 273408 307584 331776 364544 410112 442368 461376 546816 615168 663552 729088 820224 922752 1093632 1230336 1327104 1458176 1640448 1845504 2187264 2460672 3280896 3691008 4374528 4921344 6561792 7382016 9842688 13123584 14764032 19685376 29528064 39370752 59056128 118112256