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118040412 = 22372367547
BaseRepresentation
bin1110000100100…
…10011101011100
322020010002000010
413002102131130
5220204243122
615414003220
72632220100
oct702223534
9266102003
10118040412
11606a3566
1233646510
131b5bbcc9
1411969900
15a569e0c
hex709275c

118040412 has 72 divisors (see below), whose sum is σ = 321855744. Its totient is φ = 33572448.

The previous prime is 118040383. The next prime is 118040413. The reversal of 118040412 is 214040811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118040413) 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 23 ways as a sum of consecutive naturals, for example, 215523 + ... + 216069.

Almost surely, 2118040412 is an apocalyptic number.

118040412 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 118040412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160927872).

118040412 is an abundant number, since it is smaller than the sum of its proper divisors (203815332).

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

118040412 is a wasteful number, since it uses less digits than its factorization.

118040412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 118040412 is about 10864.6404450400. The cubic root of 118040412 is about 490.5427998494.

It can be divided in two parts, 1180404 and 12, that added together give a triangular number (1180416 = T1536).

The spelling of 118040412 in words is "one hundred eighteen million, forty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 367 547 588 734 1094 1101 1468 1641 2188 2202 2569 3282 3829 4404 5138 6564 7658 7707 10276 11487 15316 15414 17983 22974 26803 30828 35966 45948 53606 53949 71932 80409 107212 107898 160818 200749 215796 321636 401498 602247 802996 1204494 1405243 2408988 2810486 4215729 5620972 8431458 9836701 16862916 19673402 29510103 39346804 59020206 118040412