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100424032 = 2517210859
BaseRepresentation
bin1011111110001…
…01100101100000
320222222001212121
411333011211200
5201202032112
613544234024
72326406302
oct577054540
9228861777
10100424032
1151761075
122976b914
1317a61807
14d4a1972
158c3a407
hex5fc5960

100424032 has 36 divisors (see below), whose sum is σ = 210043260. Its totient is φ = 47254016.

The previous prime is 100424021. The next prime is 100424053. The reversal of 100424032 is 230424001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100423997 and 100424015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3819 + ... + 14677.

It is an arithmetic number, because the mean of its divisors is an integer number (5834535).

Almost surely, 2100424032 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 100424032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105021630).

100424032 is an abundant number, since it is smaller than the sum of its proper divisors (109619228).

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

100424032 is a wasteful number, since it uses less digits than its factorization.

100424032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10903 (or 10878 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 100424032 is about 10021.1791721334. The cubic root of 100424032 is about 464.8140189692.

Adding to 100424032 its reverse (230424001), we get a palindrome (330848033).

The spelling of 100424032 in words is "one hundred million, four hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 2312 4624 9248 10859 21718 43436 86872 173744 184603 347488 369206 738412 1476824 2953648 3138251 5907296 6276502 12553004 25106008 50212016 100424032