Search a number
-
+
240530100 = 223521674801
BaseRepresentation
bin11100101011000…
…11001010110100
3121202121012021020
432111203022310
5443033430400
635511221140
75650320636
oct1625431264
9552535236
10240530100
11113855908
12686777b0
133aaa8205
1423d32a56
15161b32a0
hexe5632b4

240530100 has 72 divisors (see below), whose sum is σ = 700246848. Its totient is φ = 63744000.

The previous prime is 240530077. The next prime is 240530111. The reversal of 240530100 is 1035042.

240530100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 240530100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47700 + ... + 52500.

Almost surely, 2240530100 is an apocalyptic number.

240530100 is a gapful number since it is divisible by the number (20) 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 240530100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350123424).

240530100 is an abundant number, since it is smaller than the sum of its proper divisors (459716748).

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

240530100 is a wasteful number, since it uses less digits than its factorization.

240530100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4985 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 240530100 is about 15509.0328518577. The cubic root of 240530100 is about 621.9037047262.

Adding to 240530100 its reverse (1035042), we get a palindrome (241565142).

The spelling of 240530100 in words is "two hundred forty million, five hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 167 300 334 501 668 835 1002 1670 2004 2505 3340 4175 4801 5010 8350 9602 10020 12525 14403 16700 19204 24005 25050 28806 48010 50100 57612 72015 96020 120025 144030 240050 288060 360075 480100 720150 801767 1440300 1603534 2405301 3207068 4008835 4810602 8017670 9621204 12026505 16035340 20044175 24053010 40088350 48106020 60132525 80176700 120265050 240530100