Search a number
-
+
15741056 = 27313967
BaseRepresentation
bin111100000011…
…000010000000
31002121201200002
4330003002000
513012203211
61321215132
7250540202
oct74030200
932551602
1015741056
118981541
1253314a8
133351a46
14213a772
1515ae03b
hexf03080

15741056 has 32 divisors (see below), whose sum is σ = 32378880. Its totient is φ = 7614720.

The previous prime is 15741049. The next prime is 15741059. The reversal of 15741056 is 65014751.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15741059) by changing a digit.

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, 1985 + ... + 5951.

It is an arithmetic number, because the mean of its divisors is an integer number (1011840).

Almost surely, 215741056 is an apocalyptic number.

15741056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is a pronic number, being equal to 3967×3968.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15741056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16189440).

15741056 is an abundant number, since it is smaller than the sum of its proper divisors (16637824).

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

15741056 is an equidigital number, since it uses as much as digits as its factorization.

15741056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 15741056 is about 3967.4999684940. The cubic root of 15741056 is about 250.6174391535.

The spelling of 15741056 in words is "fifteen million, seven hundred forty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3967 3968 7934 15868 31736 63472 122977 126944 245954 253888 491908 507776 983816 1967632 3935264 7870528 15741056