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100425984 = 283433041
BaseRepresentation
bin1011111110001…
…10000100000000
320222222011112220
411333012010000
5201202112414
613544251040
72326415061
oct577060400
9228864486
10100425984
115176258a
1229770a80
1317a62679
14d4a2568
158c3aca9
hex5fc6100

100425984 has 72 divisors (see below), whose sum is σ = 273585312. Its totient is φ = 32686080.

The previous prime is 100425977. The next prime is 100426003. The reversal of 100425984 is 489524001.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 31504 + ... + 34544.

It is an arithmetic number, because the mean of its divisors is an integer number (3799796).

Almost surely, 2100425984 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 100425984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136792656).

100425984 is an abundant number, since it is smaller than the sum of its proper divisors (173159328).

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

100425984 is an equidigital number, since it uses as much as digits as its factorization.

100425984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 100425984 is about 10021.2765653883. The cubic root of 100425984 is about 464.8170305694.

Adding to 100425984 its reverse (489524001), we get a palindrome (589949985).

The spelling of 100425984 in words is "one hundred million, four hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 516 688 768 1032 1376 2064 2752 3041 4128 5504 6082 8256 9123 11008 12164 16512 18246 24328 33024 36492 48656 72984 97312 130763 145968 194624 261526 291936 389248 392289 523052 583872 778496 784578 1046104 1167744 1569156 2092208 2335488 3138312 4184416 6276624 8368832 12553248 16737664 25106496 33475328 50212992 100425984