Search a number
-
+
100143340 = 225111792543
BaseRepresentation
bin1011111100000…
…01000011101100
320222102210211121
411332001003230
5201114041330
613534230324
72324130043
oct576010354
9228383747
10100143340
115158a1a0
12296553a4
1317993b1b
14d42b55a
158bd217a
hex5f810ec

100143340 has 48 divisors (see below), whose sum is σ = 230791680. Its totient is φ = 36198080.

The previous prime is 100143331. The next prime is 100143353. The reversal of 100143340 is 43341001.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 38109 + ... + 40651.

It is an arithmetic number, because the mean of its divisors is an integer number (4808160).

Almost surely, 2100143340 is an apocalyptic number.

100143340 is a gapful number since it is divisible by the number (10) 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 100143340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115395840).

100143340 is an abundant number, since it is smaller than the sum of its proper divisors (130648340).

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

100143340 is a wasteful number, since it uses less digits than its factorization.

100143340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 100143340 is about 10007.1644335446. The cubic root of 100143340 is about 464.3805525959.

Adding to 100143340 its reverse (43341001), we get a palindrome (143484341).

The spelling of 100143340 in words is "one hundred million, one hundred forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 179 220 358 716 895 1790 1969 2543 3580 3938 5086 7876 9845 10172 12715 19690 25430 27973 39380 50860 55946 111892 139865 279730 455197 559460 910394 1820788 2275985 4551970 5007167 9103940 10014334 20028668 25035835 50071670 100143340