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103242432 = 2633714533
BaseRepresentation
bin1100010011101…
…01101011000000
321012021020222210
412021311223000
5202412224212
614124502120
72362355226
oct611655300
9235236883
10103242432
1153306627
122a6aa940
131850a5c7
14d9d6b16
1590e553c
hex6275ac0

103242432 has 56 divisors (see below), whose sum is σ = 280564336. Its totient is φ = 33481728.

The previous prime is 103242427. The next prime is 103242467. The reversal of 103242432 is 234242301.

It is a junction number, because it is equal to n+sod(n) for n = 103242399 and 103242408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163 + ... + 14370.

Almost surely, 2103242432 is an apocalyptic number.

103242432 is a gapful number since it is divisible by the number (12) 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 103242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140282168).

103242432 is an abundant number, since it is smaller than the sum of its proper divisors (177321904).

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

103242432 is a wasteful number, since it uses less digits than its factorization.

103242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14585 (or 14575 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 103242432 is about 10160.8283126918. The cubic root of 103242432 is about 469.1222973681.

Adding to 103242432 its reverse (234242301), we get a palindrome (337484733).

The spelling of 103242432 in words is "one hundred three million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 14533 29066 43599 58132 87198 116264 174396 232528 348792 465056 537721 697584 930112 1075442 1395168 1613163 2150884 2790336 3226326 4301768 6452652 8603536 12905304 17207072 25810608 34414144 51621216 103242432