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100012432 = 2413974957
BaseRepresentation
bin1011111011000…
…01000110010000
320222012011021011
411331201012100
5201100344212
613531340304
72323043302
oct575410620
9228164234
10100012432
11514aa903
12295b1694
1317949370
14d3d5972
158ba84a7
hex5f61190

100012432 has 40 divisors (see below), whose sum is σ = 210873656. Its totient is φ = 45674496.

The previous prime is 100012421. The next prime is 100012457. The reversal of 100012432 is 234210001.

It can be written as a sum of positive squares in 4 ways, for example, as 12702096 + 87310336 = 3564^2 + 9344^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17698 + ... + 22654.

Almost surely, 2100012432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100012432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105436828).

100012432 is an abundant number, since it is smaller than the sum of its proper divisors (110861224).

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

100012432 is a wasteful number, since it uses less digits than its factorization.

100012432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5075 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 100012432 is about 10000.6215806819. The cubic root of 100012432 is about 464.1781173084.

Adding to 100012432 its reverse (234210001), we get a palindrome (334222433).

The spelling of 100012432 in words is "one hundred million, twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 97 104 194 208 388 776 1261 1552 2522 4957 5044 9914 10088 19828 20176 39656 64441 79312 128882 257764 480829 515528 961658 1031056 1923316 3846632 6250777 7693264 12501554 25003108 50006216 100012432