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118353040 = 24513313671
BaseRepresentation
bin1110000110111…
…10110010010000
322020200221211221
413003132302100
5220244244130
615424414424
72634661411
oct703366220
9266627757
10118353040
1160897433
1233777414
131b69b3b0
1411a0b808
15a5cc87a
hex70dec90

118353040 has 80 divisors (see below), whose sum is σ = 305980416. Its totient is φ = 42278400.

The previous prime is 118353023. The next prime is 118353041. The reversal of 118353040 is 40353811.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 118352996 and 118353014.

It is not an unprimeable number, because it can be changed into a prime (118353041) 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 15 ways as a sum of consecutive naturals, for example, 30405 + ... + 34075.

Almost surely, 2118353040 is an apocalyptic number.

118353040 is a gapful number since it is divisible by the number (10) 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 118353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152990208).

118353040 is an abundant number, since it is smaller than the sum of its proper divisors (187627376).

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

118353040 is a wasteful number, since it uses less digits than its factorization.

118353040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 118353040 is about 10879.0183380671. The cubic root of 118353040 is about 490.9754828109.

The spelling of 118353040 in words is "one hundred eighteen million, three hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 1040 1240 1612 2015 2480 3224 3671 4030 6448 7342 8060 14684 16120 18355 29368 32240 36710 47723 58736 73420 95446 113801 146840 190892 227602 238615 293680 381784 455204 477230 569005 763568 910408 954460 1138010 1479413 1820816 1908920 2276020 2958826 3817840 4552040 5917652 7397065 9104080 11835304 14794130 23670608 29588260 59176520 118353040