Search a number
-
+
100404528 = 2437242689
BaseRepresentation
bin1011111110000…
…00110100110000
320222221002010020
411333000310300
5201200421103
613544003440
72326265400
oct577006460
9228832106
10100404528
1151748454
1229760580
1317a55983
14d498800
158c34753
hex5fc0d30

100404528 has 60 divisors (see below), whose sum is σ = 301732920. Its totient is φ = 28686336.

The previous prime is 100404523. The next prime is 100404539. The reversal of 100404528 is 825404001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 100404498 and 100404507.

It is not an unprimeable number, because it can be changed into a prime (100404523) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18993 + ... + 23696.

It is an arithmetic number, because the mean of its divisors is an integer number (5028882).

Almost surely, 2100404528 is an apocalyptic number.

It is an amenable number.

100404528 is an abundant number, since it is smaller than the sum of its proper divisors (201328392).

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

100404528 is a wasteful number, since it uses less digits than its factorization.

100404528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42714 (or 42701 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 100404528 is about 10020.2059859067. The cubic root of 100404528 is about 464.7839255098.

Adding to 100404528 its reverse (825404001), we get a palindrome (925808529).

The spelling of 100404528 in words is "one hundred million, four hundred four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 42689 85378 128067 170756 256134 298823 341512 512268 597646 683024 896469 1024536 1195292 1792938 2049072 2091761 2390584 3585876 4183522 4781168 6275283 7171752 8367044 12550566 14343504 16734088 25101132 33468176 50202264 100404528