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100147408 = 2417368189
BaseRepresentation
bin1011111100000…
…10000011010000
320222110000102021
411332002003100
5201114204113
613534301224
72324144644
oct576020320
9228400367
10100147408
1151592259
1229657814
131799592a
14d42cc24
158bd348d
hex5f820d0

100147408 has 20 divisors (see below), whose sum is σ = 205450020. Its totient is φ = 47128064.

The previous prime is 100147403. The next prime is 100147427. The reversal of 100147408 is 804741001.

It can be written as a sum of positive squares in 2 ways, for example, as 54287424 + 45859984 = 7368^2 + 6772^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100147403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 183823 + ... + 184366.

It is an arithmetic number, because the mean of its divisors is an integer number (10272501).

Almost surely, 2100147408 is an apocalyptic number.

It is an amenable number.

100147408 is an abundant number, since it is smaller than the sum of its proper divisors (105302612).

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

100147408 is a wasteful number, since it uses less digits than its factorization.

100147408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368214 (or 368208 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 100147408 is about 10007.3676858603. The cubic root of 100147408 is about 464.3868404979.

Adding to 100147408 its reverse (804741001), we get a palindrome (904888409).

The spelling of 100147408 in words is "one hundred million, one hundred forty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 368189 736378 1472756 2945512 5891024 6259213 12518426 25036852 50073704 100147408