Search a number
-
+
100443464 = 23111318713
BaseRepresentation
bin1011111110010…
…10010101001000
321000000001112022
411333022111020
5201203142324
613544504012
72326520042
oct577122510
9230001468
10100443464
1151774730
122977b008
1317a6a604
14d4a8a92
158c4105e
hex5fca548

100443464 has 32 divisors (see below), whose sum is σ = 207044640. Its totient is φ = 45302400.

The previous prime is 100443451. The next prime is 100443467. The reversal of 100443464 is 464344001.

It is not an unprimeable number, because it can be changed into a prime (100443467) 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, 7172 + ... + 15884.

It is an arithmetic number, because the mean of its divisors is an integer number (6470145).

Almost surely, 2100443464 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 100443464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103522320).

100443464 is an abundant number, since it is smaller than the sum of its proper divisors (106601176).

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

100443464 is a wasteful number, since it uses less digits than its factorization.

100443464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8861 (or 8857 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 100443464 is about 10022.1486718168. The cubic root of 100443464 is about 464.8439974625.

Adding to 100443464 its reverse (464344001), we get a palindrome (564787465).

The spelling of 100443464 in words is "one hundred million, four hundred forty-three thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 131 262 524 1048 1441 2882 5764 8713 11528 17426 34852 69704 95843 191686 383372 766744 1141403 2282806 4565612 9131224 12555433 25110866 50221732 100443464