Search a number
-
+
15210140 = 22511471471
BaseRepresentation
bin111010000001…
…011010011100
31001121202101112
4322001122130
512343211030
61302001152
7243166301
oct72013234
931552345
1015210140
118649670
1251161b8
1331c71aa
14203d0a8
151506a95
hexe8169c

15210140 has 48 divisors (see below), whose sum is σ = 35610624. Its totient is φ = 5409600.

The previous prime is 15210133. The next prime is 15210149. The reversal of 15210140 is 4101251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15210149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9605 + ... + 11075.

It is an arithmetic number, because the mean of its divisors is an integer number (741888).

Almost surely, 215210140 is an apocalyptic number.

15210140 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 15210140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17805312).

15210140 is an abundant number, since it is smaller than the sum of its proper divisors (20400484).

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

15210140 is a wasteful number, since it uses less digits than its factorization.

15210140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 15210140 is about 3900.0179486766. The cubic root of 15210140 is about 247.7675371117.

Adding to 15210140 its reverse (4101251), we get a palindrome (19311391).

Subtracting from 15210140 its reverse (4101251), we obtain a square (11108889 = 33332).

The spelling of 15210140 in words is "fifteen million, two hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 1471 2068 2585 2942 5170 5884 7355 10340 14710 16181 29420 32362 64724 69137 80905 138274 161810 276548 323620 345685 691370 760507 1382740 1521014 3042028 3802535 7605070 15210140