Search a number
-
+
106260432 = 2432213759
BaseRepresentation
bin1100101010101…
…10011111010000
321101221120220120
412111112133100
5204200313212
614313310240
72430125115
oct625263720
9241846816
10106260432
1154a88043
122b705380
13190261c5
141018090c
1594de88c
hex65567d0

106260432 has 20 divisors (see below), whose sum is σ = 274506240. Its totient is φ = 35420128.

The previous prime is 106260419. The next prime is 106260433. The reversal of 106260432 is 234062601.

It is a super-2 number, since 2×1062604322 = 22582558817653248, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106260433) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1106832 + ... + 1106927.

It is an arithmetic number, because the mean of its divisors is an integer number (13725312).

Almost surely, 2106260432 is an apocalyptic number.

106260432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106260432 is an abundant number, since it is smaller than the sum of its proper divisors (168245808).

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

106260432 is a wasteful number, since it uses less digits than its factorization.

106260432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213770 (or 2213764 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 106260432 is about 10308.2700779520. The cubic root of 106260432 is about 473.6496191088.

The spelling of 106260432 in words is "one hundred six million, two hundred sixty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 2213759 4427518 6641277 8855036 13282554 17710072 26565108 35420144 53130216 106260432