Search a number
-
+
16132464 = 2432112031
BaseRepresentation
bin111101100010…
…100101110000
31010100121120200
4331202211300
513112214324
61333435200
7254060265
oct75424560
933317520
1016132464
119119617
12549bb00
13345ac4a
1421dd26c
151639ec9
hexf62970

16132464 has 30 divisors (see below), whose sum is σ = 45148896. Its totient is φ = 5377440.

The previous prime is 16132451. The next prime is 16132469. The reversal of 16132464 is 46423161.

16132464 is a `hidden beast` number, since 1 + 613 + 2 + 46 + 4 = 666.

16132464 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×161324642 = 520512789422592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16132469) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55872 + ... + 56159.

Almost surely, 216132464 is an apocalyptic number.

It is an amenable number.

16132464 is an abundant number, since it is smaller than the sum of its proper divisors (29016432).

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

16132464 is a wasteful number, since it uses less digits than its factorization.

16132464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112045 (or 112036 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 16132464 is about 4016.5238702141. The cubic root of 16132464 is about 252.6776921306.

The spelling of 16132464 in words is "sixteen million, one hundred thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 112031 224062 336093 448124 672186 896248 1008279 1344372 1792496 2016558 2688744 4033116 5377488 8066232 16132464