Search a number
-
+
118073040 = 24351014871
BaseRepresentation
bin1110000100110…
…10011011010000
322020011201202120
413002122123100
5220211314130
615414414240
72632414161
oct702323320
9266151676
10118073040
1160716028
1233661380
131b600b07
1411977768
15a574910
hex709a6d0

118073040 has 80 divisors (see below), whose sum is σ = 369726336. Its totient is φ = 31168000.

The previous prime is 118073027. The next prime is 118073057. The reversal of 118073040 is 40370811.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 118073040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21805 + ... + 26675.

Almost surely, 2118073040 is an apocalyptic number.

118073040 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 118073040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184863168).

118073040 is an abundant number, since it is smaller than the sum of its proper divisors (251653296).

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

118073040 is a wasteful number, since it uses less digits than its factorization.

118073040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988 (or 4982 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 118073040 is about 10866.1419096200. The cubic root of 118073040 is about 490.5879932870.

The spelling of 118073040 in words is "one hundred eighteen million, seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 4040 4848 4871 6060 8080 9742 12120 14613 19484 24240 24355 29226 38968 48710 58452 73065 77936 97420 116904 146130 194840 233808 292260 389680 491971 584520 983942 1169040 1475913 1967884 2459855 2951826 3935768 4919710 5903652 7379565 7871536 9839420 11807304 14759130 19678840 23614608 29518260 39357680 59036520 118073040