Search a number
-
+
15483136 = 28311951
BaseRepresentation
bin111011000100…
…000100000000
31002010121212111
4323010010000
512430430021
61311505104
7245414224
oct73040400
932117774
1015483136
118815789
125228194
133291526
1420b0784
15155c8e1
hexec4100

15483136 has 36 divisors (see below), whose sum is σ = 31919104. Its totient is φ = 7488000.

The previous prime is 15483121. The next prime is 15483151. The reversal of 15483136 is 63138451.

It is an interprime number because it is at equal distance from previous prime (15483121) and next prime (15483151).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 15483098 and 15483107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6961 + ... + 8911.

Almost surely, 215483136 is an apocalyptic number.

15483136 is a gapful number since it is divisible by the number (16) 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 15483136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15959552).

15483136 is an abundant number, since it is smaller than the sum of its proper divisors (16435968).

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

15483136 is an equidigital number, since it uses as much as digits as its factorization.

15483136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1984 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 15483136 is about 3934.8616239965. The cubic root of 15483136 is about 249.2410905570.

The spelling of 15483136 in words is "fifteen million, four hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 992 1951 1984 3902 3968 7804 7936 15608 31216 60481 62432 120962 124864 241924 249728 483848 499456 967696 1935392 3870784 7741568 15483136