Search a number
-
+
100240480 = 2551016203
BaseRepresentation
bin1011111100110…
…00110001100000
320222121202002101
411332120301200
5201130143410
613540300144
72325013204
oct576306140
9228552071
10100240480
115164617a
12296a1654
13179c90c2
14d454b04
158c00d3a
hex5f98c60

100240480 has 48 divisors (see below), whose sum is σ = 239201424. Its totient is φ = 39692800.

The previous prime is 100240477. The next prime is 100240499. The reversal of 100240480 is 84042001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13059 + ... + 19261.

It is an arithmetic number, because the mean of its divisors is an integer number (4983363).

Almost surely, 2100240480 is an apocalyptic number.

100240480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119600712).

100240480 is an abundant number, since it is smaller than the sum of its proper divisors (138960944).

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

100240480 is a wasteful number, since it uses less digits than its factorization.

100240480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6319 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 100240480 is about 10012.0167798501. The cubic root of 100240480 is about 464.5306552689.

Adding to 100240480 its reverse (84042001), we get a palindrome (184282481).

The spelling of 100240480 in words is "one hundred million, two hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 1010 1616 2020 3232 4040 6203 8080 12406 16160 24812 31015 49624 62030 99248 124060 198496 248120 496240 626503 992480 1253006 2506012 3132515 5012024 6265030 10024048 12530060 20048096 25060120 50120240 100240480