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118329984 = 2734101113
BaseRepresentation
bin1110000110110…
…01001010000000
322020122210020000
413003121022000
5220243024414
615424120000
72634534243
oct703311200
9266583200
10118329984
1160881083
1233766000
131b690a56
1411a0325a
15a5c5b09
hex70d9280

118329984 has 160 divisors (see below), whose sum is σ = 358781940. Its totient is φ = 38707200.

The previous prime is 118329961. The next prime is 118329997. The reversal of 118329984 is 489923811.

It can be written as a sum of positive squares in 2 ways, for example, as 118200384 + 129600 = 10872^2 + 360^2 .

It is a super-2 number, since 2×1183299842 = 28003970226880512, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1047112 + ... + 1047224.

Almost surely, 2118329984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118329984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179390970).

118329984 is an abundant number, since it is smaller than the sum of its proper divisors (240451956).

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

118329984 is a wasteful number, since it uses less digits than its factorization.

118329984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 219 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 118329984 is about 10877.9586320228. The cubic root of 118329984 is about 490.9435989210.

The spelling of 118329984 in words is "one hundred eighteen million, three hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 101 108 113 128 144 162 192 202 216 226 288 303 324 339 384 404 432 452 576 606 648 678 808 864 904 909 1017 1152 1212 1296 1356 1616 1728 1808 1818 2034 2424 2592 2712 2727 3051 3232 3456 3616 3636 4068 4848 5184 5424 5454 6102 6464 7232 7272 8136 8181 9153 9696 10368 10848 10908 11413 12204 12928 14464 14544 16272 16362 18306 19392 21696 21816 22826 24408 29088 32544 32724 34239 36612 38784 43392 43632 45652 48816 58176 65088 65448 68478 73224 87264 91304 97632 102717 116352 130176 130896 136956 146448 174528 182608 195264 205434 261792 273912 292896 308151 349056 365216 390528 410868 523584 547824 585792 616302 730432 821736 924453 1047168 1095648 1171584 1232604 1460864 1643472 1848906 2191296 2465208 3286944 3697812 4382592 4930416 6573888 7395624 9860832 13147776 14791248 19721664 29582496 39443328 59164992 118329984