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104430132 = 22323778401
BaseRepresentation
bin1100011100101…
…11101000110100
321021111121012200
412032113220310
5203213231012
614210144500
72405433012
oct616275064
9237447180
10104430132
1153a479a4
122ab82130
13188350a1
14dc258b2
15927c3dc
hex6397a34

104430132 has 36 divisors (see below), whose sum is σ = 271114116. Its totient is φ = 33868800.

The previous prime is 104430127. The next prime is 104430149. The reversal of 104430132 is 231034401.

104430132 is a `hidden beast` number, since 104 + 430 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101485476 + 2944656 = 10074^2 + 1716^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37869 + ... + 40532.

Almost surely, 2104430132 is an apocalyptic number.

104430132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104430132 is an abundant number, since it is smaller than the sum of its proper divisors (166683984).

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

104430132 is a wasteful number, since it uses less digits than its factorization.

104430132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78448 (or 78443 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 104430132 is about 10219.1062231489. The cubic root of 104430132 is about 470.9143690595.

Adding to 104430132 its reverse (231034401), we get a palindrome (335464533).

The spelling of 104430132 in words is "one hundred four million, four hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 78401 156802 235203 313604 470406 705609 940812 1411218 2822436 2900837 5801674 8702511 11603348 17405022 26107533 34810044 52215066 104430132