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100042932 = 223115091489
BaseRepresentation
bin1011111011010…
…00100010110100
320222020201002210
411331220202310
5201102333212
613532133420
72323231233
oct575504264
9228221083
10100042932
1151520810
1229607270
131795a202
14d402b1a
158bb253c
hex5f688b4

100042932 has 48 divisors (see below), whose sum is σ = 255326400. Its totient is φ = 30236160.

The previous prime is 100042927. The next prime is 100042933. The reversal of 100042932 is 239240001.

It is a junction number, because it is equal to n+sod(n) for n = 100042899 and 100042908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100042933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66444 + ... + 67932.

It is an arithmetic number, because the mean of its divisors is an integer number (5319300).

Almost surely, 2100042932 is an apocalyptic number.

100042932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100042932 is an abundant number, since it is smaller than the sum of its proper divisors (155283468).

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

100042932 is a wasteful number, since it uses less digits than its factorization.

100042932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 100042932 is about 10002.1463696549. The cubic root of 100042932 is about 464.2252980884.

Adding to 100042932 its reverse (239240001), we get a palindrome (339282933).

The spelling of 100042932 in words is "one hundred million, forty-two thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 509 1018 1489 1527 2036 2978 3054 4467 5599 5956 6108 8934 11198 16379 16797 17868 22396 32758 33594 49137 65516 67188 98274 196548 757901 1515802 2273703 3031604 4547406 8336911 9094812 16673822 25010733 33347644 50021466 100042932