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118007472 = 243111713147
BaseRepresentation
bin1110000100010…
…10011010110000
322020001101211010
413002022122300
5220202214342
615413150520
72632022052
oct702123260
9266041733
10118007472
1160680840
123362b440
131b5aa00b
141195b8d2
15a56029c
hex708a6b0

118007472 has 80 divisors (see below), whose sum is σ = 352156032. Its totient is φ = 33653760.

The previous prime is 118007453. The next prime is 118007473. The reversal of 118007472 is 274700811.

It is not an unprimeable number, because it can be changed into a prime (118007473) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2403 + ... + 15549.

Almost surely, 2118007472 is an apocalyptic number.

118007472 is a gapful number since it is divisible by the number (12) 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 118007472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176078016).

118007472 is an abundant number, since it is smaller than the sum of its proper divisors (234148560).

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

118007472 is a wasteful number, since it uses less digits than its factorization.

118007472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13186 (or 13180 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 118007472 is about 10863.1244124331. The cubic root of 118007472 is about 490.4971658081.

The spelling of 118007472 in words is "one hundred eighteen million, seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 8976 13147 26294 39441 52588 78882 105176 144617 157764 210352 223499 289234 315528 433851 446998 578468 631056 670497 867702 893996 1156936 1340994 1735404 1787992 2313872 2458489 2681988 3470808 3575984 4916978 5363976 6941616 7375467 9833956 10727952 14750934 19667912 29501868 39335824 59003736 118007472