Search a number
-
+
118201440 = 25357127277
BaseRepresentation
bin1110000101110…
…01110001100000
322020102020220010
413002321301200
5220224421230
615421244520
72633460420
oct702716140
9266366803
10118201440
11607a3545
1233703740
131b6473a6
14119ac480
15a59c9b0
hex70b9c60

118201440 has 192 divisors, whose sum is σ = 430424064. Its totient is φ = 26707968.

The previous prime is 118201429. The next prime is 118201487. The reversal of 118201440 is 44102811.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426582 + ... + 426858.

It is an arithmetic number, because the mean of its divisors is an integer number (2241792).

Almost surely, 2118201440 is an apocalyptic number.

118201440 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 118201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215212032).

118201440 is an abundant number, since it is smaller than the sum of its proper divisors (312222624).

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

118201440 is a wasteful number, since it uses less digits than its factorization.

118201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 421 counting only the distinct ones).

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

The square root of 118201440 is about 10872.0485650129. The cubic root of 118201440 is about 490.7657608747.

The spelling of 118201440 in words is "one hundred eighteen million, two hundred one thousand, four hundred forty".