Search a number
-
+
100425424 = 24113131823
BaseRepresentation
bin1011111110001…
…01111011010000
320222222010210011
411333011323100
5201202103144
613544244304
72326413331
oct577057320
9228863704
10100425424
1151762120
1229770694
1317a62338
14d4a2288
158c3aa34
hex5fc5ed0

100425424 has 40 divisors (see below), whose sum is σ = 213057792. Its totient is φ = 45477120.

The previous prime is 100425421. The next prime is 100425433. The reversal of 100425424 is 424524001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 100425395 and 100425404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100425421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54177 + ... + 55999.

Almost surely, 2100425424 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 100425424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106528896).

100425424 is an abundant number, since it is smaller than the sum of its proper divisors (112632368).

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

100425424 is a wasteful number, since it uses less digits than its factorization.

100425424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 100425424 is about 10021.2486247972. The cubic root of 100425424 is about 464.8161665897.

Adding to 100425424 its reverse (424524001), we get a palindrome (524949425).

It can be divided in two parts, 100 and 425424, that added together give a palindrome (425524).

The spelling of 100425424 in words is "one hundred million, four hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 313 626 1252 1823 2504 3443 3646 5008 6886 7292 13772 14584 20053 27544 29168 40106 55088 80212 160424 320848 570599 1141198 2282396 4564792 6276589 9129584 12553178 25106356 50212712 100425424