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15130401 = 3111322713
BaseRepresentation
bin111001101101…
…111100100001
31001110201000020
4321231330201
512333133101
61300144053
7242414646
oct71557441
931421006
1015130401
1185a4770
125098029
133199b00
14201bdcd
1514dd136
hexe6df21

15130401 has 24 divisors (see below), whose sum is σ = 23839776. Its totient is φ = 8461440.

The previous prime is 15130393. The next prime is 15130411. The reversal of 15130401 is 10403151.

It is not a de Polignac number, because 15130401 - 23 = 15130393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (15130411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4221 + ... + 6933.

It is an arithmetic number, because the mean of its divisors is an integer number (993324).

Almost surely, 215130401 is an apocalyptic number.

15130401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

15130401 is a deficient number, since it is larger than the sum of its proper divisors (8709375).

15130401 is a wasteful number, since it uses less digits than its factorization.

15130401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 15130401 is about 3889.7816134071. The cubic root of 15130401 is about 247.3338053736. Note that the first 3 decimals are identical.

Adding to 15130401 its reverse (10403151), we get a palindrome (25533552).

The spelling of 15130401 in words is "fifteen million, one hundred thirty thousand, four hundred one".

Divisors: 1 3 11 13 33 39 143 169 429 507 1859 2713 5577 8139 29843 35269 89529 105807 387959 458497 1163877 1375491 5043467 15130401