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118380540 = 223523109787
BaseRepresentation
bin1110000111001…
…01011111111100
322020202100120110
413003211133330
5220301134130
615425150020
72635134525
oct703453774
9266670513
10118380540
1160906063
123378b310
131b6aaa75
1411a1784c
15a5d5ab0
hex70e57fc

118380540 has 96 divisors (see below), whose sum is σ = 349493760. Its totient is φ = 29880576.

The previous prime is 118380533. The next prime is 118380541. The reversal of 118380540 is 45083811.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 118380498 and 118380507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118380541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150027 + ... + 150813.

It is an arithmetic number, because the mean of its divisors is an integer number (3640560).

Almost surely, 2118380540 is an apocalyptic number.

118380540 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 118380540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174746880).

118380540 is an abundant number, since it is smaller than the sum of its proper divisors (231113220).

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

118380540 is a wasteful number, since it uses less digits than its factorization.

118380540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 118380540 is about 10880.2821654588. The cubic root of 118380540 is about 491.0135068452.

The spelling of 118380540 in words is "one hundred eighteen million, three hundred eighty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 109 115 138 218 230 276 327 345 436 460 545 654 690 787 1090 1308 1380 1574 1635 2180 2361 2507 3148 3270 3935 4722 5014 6540 7521 7870 9444 10028 11805 12535 15042 15740 18101 23610 25070 30084 36202 37605 47220 50140 54303 72404 75210 85783 90505 108606 150420 171566 181010 217212 257349 271515 343132 362020 428915 514698 543030 857830 1029396 1086060 1286745 1715660 1973009 2573490 3946018 5146980 5919027 7892036 9865045 11838054 19730090 23676108 29595135 39460180 59190270 118380540