Search a number
-
+
46056120 = 233511233741
BaseRepresentation
bin1010111110110…
…0001010111000
310012122220010020
42233230022320
543242243440
64323050440
71066320255
oct257541270
9105586106
1046056120
1123aa7710
1213510a20
139707256
14618c42c
15409b3d0
hex2bec2b8

46056120 has 256 divisors, whose sum is σ = 165473280. Its totient is φ = 10137600.

The previous prime is 46056103. The next prime is 46056151. The reversal of 46056120 is 2165064.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1123300 + ... + 1123340.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 246056120 is an apocalyptic number.

46056120 is a gapful number since it is divisible by the number (40) 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 46056120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82736640).

46056120 is an abundant number, since it is smaller than the sum of its proper divisors (119417160).

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

46056120 is a wasteful number, since it uses less digits than its factorization.

46056120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 46056120 is about 6786.4659433316. The cubic root of 46056120 is about 358.4504384995.

The spelling of 46056120 in words is "forty-six million, fifty-six thousand, one hundred twenty".