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118314420 = 2235735749
BaseRepresentation
bin1110000110101…
…01010110110100
322020121222212120
413003111112310
5220242030140
615423515540
72634441000
oct703252664
9266558776
10118314420
1160870414
1233758bb0
131b686943
14119db700
15a5c11d0
hex70d55b4

118314420 has 96 divisors (see below), whose sum is σ = 386400000. Its totient is φ = 27038592.

The previous prime is 118314401. The next prime is 118314421. The reversal of 118314420 is 24413811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118314421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17706 + ... + 23454.

It is an arithmetic number, because the mean of its divisors is an integer number (4025000).

Almost surely, 2118314420 is an apocalyptic number.

118314420 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 118314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193200000).

118314420 is an abundant number, since it is smaller than the sum of its proper divisors (268085580).

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

118314420 is a wasteful number, since it uses less digits than its factorization.

118314420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5782 (or 5766 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 118314420 is about 10877.2432169185. The cubic root of 118314420 is about 490.9220732943.

The spelling of 118314420 in words is "one hundred eighteen million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 343 420 490 588 686 735 980 1029 1372 1470 1715 2058 2940 3430 4116 5145 5749 6860 10290 11498 17247 20580 22996 28745 34494 40243 57490 68988 80486 86235 114980 120729 160972 172470 201215 241458 281701 344940 402430 482916 563402 603645 804860 845103 1126804 1207290 1408505 1690206 1971907 2414580 2817010 3380412 3943814 4225515 5634020 5915721 7887628 8451030 9859535 11831442 16902060 19719070 23662884 29578605 39438140 59157210 118314420