Search a number
-
+
103542432 = 2537154081
BaseRepresentation
bin1100010101111…
…10111010100000
321012211111111220
412022332322200
5203001324212
614135135040
72365044660
oct612767240
9235744456
10103542432
11534a0a64
122a814480
13185b4016
14da741a0
15915438c
hex62beea0

103542432 has 48 divisors (see below), whose sum is σ = 310629312. Its totient is φ = 29583360.

The previous prime is 103542407. The next prime is 103542433. The reversal of 103542432 is 234245301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1035424323 (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103542433) 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, 76369 + ... + 77712.

It is an arithmetic number, because the mean of its divisors is an integer number (6471444).

Almost surely, 2103542432 is an apocalyptic number.

103542432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103542432 is an abundant number, since it is smaller than the sum of its proper divisors (207086880).

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

103542432 is a wasteful number, since it uses less digits than its factorization.

103542432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154101 (or 154093 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 103542432 is about 10175.5801800192. The cubic root of 103542432 is about 469.5762470004.

Adding to 103542432 its reverse (234245301), we get a palindrome (337787733).

The spelling of 103542432 in words is "one hundred three million, five hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 154081 308162 462243 616324 924486 1078567 1232648 1848972 2157134 2465296 3235701 3697944 4314268 4930592 6471402 7395888 8628536 12942804 14791776 17257072 25885608 34514144 51771216 103542432