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118420704 = 253597157
BaseRepresentation
bin1110000111011…
…11010011100000
322020211101200000
413003233103200
5220303430304
615430100000
72635362603
oct703572340
9266741600
10118420704
1160933256
12337aa600
131b6c312c
1411a2833a
15a5e2939
hex70ef4e0

118420704 has 144 divisors (see below), whose sum is σ = 355079088. Its totient is φ = 38817792.

The previous prime is 118420681. The next prime is 118420727. The reversal of 118420704 is 407024811.

It is an interprime number because it is at equal distance from previous prime (118420681) and next prime (118420727).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 754194 + ... + 754350.

It is an arithmetic number, because the mean of its divisors is an integer number (2465827).

Almost surely, 2118420704 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 118420704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177539544).

118420704 is an abundant number, since it is smaller than the sum of its proper divisors (236658384).

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

118420704 is an equidigital number, since it uses as much as digits as its factorization.

118420704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 118420704 is about 10882.1277331228. The cubic root of 118420704 is about 491.0690307137.

The spelling of 118420704 in words is "one hundred eighteen million, four hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 97 108 144 157 162 194 216 243 288 291 314 324 388 432 471 486 582 628 648 776 864 873 942 972 1164 1256 1296 1413 1552 1746 1884 1944 2328 2512 2592 2619 2826 3104 3492 3768 3888 4239 4656 5024 5238 5652 6984 7536 7776 7857 8478 9312 10476 11304 12717 13968 15072 15229 15714 16956 20952 22608 23571 25434 27936 30458 31428 33912 38151 41904 45216 45687 47142 50868 60916 62856 67824 76302 83808 91374 94284 101736 121832 125712 135648 137061 152604 182748 188568 203472 243664 251424 274122 305208 365496 377136 406944 411183 487328 548244 610416 730992 754272 822366 1096488 1220832 1233549 1461984 1644732 2192976 2467098 3289464 3700647 4385952 4934196 6578928 7401294 9868392 13157856 14802588 19736784 29605176 39473568 59210352 118420704