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100240084 = 22721274027
BaseRepresentation
bin1011111100110…
…00101011010100
320222121201112201
411332120223110
5201130140314
613540254244
72325012100
oct576305324
9228551481
10100240084
115164594a
12296a1384
13179c8b79
14d454900
158c00b74
hex5f98ad4

100240084 has 36 divisors (see below), whose sum is σ = 205718016. Its totient is φ = 42611184.

The previous prime is 100240073. The next prime is 100240087. The reversal of 100240084 is 480042001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100240087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22879 + ... + 26905.

Almost surely, 2100240084 is an apocalyptic number.

100240084 is a gapful number since it is divisible by the number (14) 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 100240084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102859008).

100240084 is an abundant number, since it is smaller than the sum of its proper divisors (105477932).

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

100240084 is a wasteful number, since it uses less digits than its factorization.

100240084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 4163 counting only the distinct ones).

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

The square root of 100240084 is about 10011.9970035952. The cubic root of 100240084 is about 464.5300435587.

Adding to 100240084 its reverse (480042001), we get a palindrome (580282085).

The spelling of 100240084 in words is "one hundred million, two hundred forty thousand, eighty-four".

Divisors: 1 2 4 7 14 28 49 98 127 196 254 508 889 1778 3556 4027 6223 8054 12446 16108 24892 28189 56378 112756 197323 394646 511429 789292 1022858 2045716 3580003 7160006 14320012 25060021 50120042 100240084