Search a number
-
+
100230432 = 2531278221
BaseRepresentation
bin1011111100101…
…10010100100000
320222121020022020
411332112110200
5201124333212
613540141440
72324642001
oct576262440
9228536266
10100230432
1151639675
1229697880
13179c4663
14d4511a8
158becd8c
hex5f96520

100230432 has 48 divisors (see below), whose sum is σ = 265208832. Its totient is φ = 33143040.

The previous prime is 100230421. The next prime is 100230437. The reversal of 100230432 is 234032001.

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

It is a super-2 number, since 2×1002304322 = 20092278997813248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100230437) 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 7 ways as a sum of consecutive naturals, for example, 8082 + ... + 16302.

It is an arithmetic number, because the mean of its divisors is an integer number (5525184).

Almost surely, 2100230432 is an apocalyptic number.

100230432 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 100230432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132604416).

100230432 is an abundant number, since it is smaller than the sum of its proper divisors (164978400).

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

100230432 is a wasteful number, since it uses less digits than its factorization.

100230432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8361 (or 8353 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 100230432 is about 10011.5149702730. The cubic root of 100230432 is about 464.5151333959.

Adding to 100230432 its reverse (234032001), we get a palindrome (334262433).

The spelling of 100230432 in words is "one hundred million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 6096 8221 12192 16442 24663 32884 49326 65768 98652 131536 197304 263072 394608 789216 1044067 2088134 3132201 4176268 6264402 8352536 12528804 16705072 25057608 33410144 50115216 100230432