Search a number
-
+
15426080 = 255671439
BaseRepresentation
bin111010110110…
…001000100000
31002000201121022
4322312020200
512422113310
61310345012
7245055665
oct72661040
932021538
1015426080
11878692a
1251bb168
133271577
142097a6c
15154aa55
hexeb6220

15426080 has 48 divisors (see below), whose sum is σ = 37013760. Its totient is φ = 6074112.

The previous prime is 15426079. The next prime is 15426097. The reversal of 15426080 is 8062451.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10001 + ... + 11439.

It is an arithmetic number, because the mean of its divisors is an integer number (771120).

Almost surely, 215426080 is an apocalyptic number.

15426080 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 15426080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506880).

15426080 is an abundant number, since it is smaller than the sum of its proper divisors (21587680).

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

15426080 is a wasteful number, since it uses less digits than its factorization.

15426080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 15426080 is about 3927.6048681098. The cubic root of 15426080 is about 248.9345591267.

The spelling of 15426080 in words is "fifteen million, four hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 1072 1340 1439 2144 2680 2878 5360 5756 7195 10720 11512 14390 23024 28780 46048 57560 96413 115120 192826 230240 385652 482065 771304 964130 1542608 1928260 3085216 3856520 7713040 15426080