Search a number
-
+
15486640 = 2451314891
BaseRepresentation
bin111011000100…
…111010110000
31002010210200021
4323010322300
512431033030
61311533224
7245430361
oct73047260
932123607
1015486640
118818384
12522a214
133292cc0
1420b1b68
15155d97a
hexec4eb0

15486640 has 40 divisors (see below), whose sum is σ = 38778768. Its totient is φ = 5717760.

The previous prime is 15486589. The next prime is 15486649. The reversal of 15486640 is 4668451.

15486640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 15486596 and 15486605.

It is not an unprimeable number, because it can be changed into a prime (15486649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6406 + ... + 8485.

Almost surely, 215486640 is an apocalyptic number.

15486640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15486640 is an abundant number, since it is smaller than the sum of its proper divisors (23292128).

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

15486640 is a wasteful number, since it uses less digits than its factorization.

15486640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14917 (or 14911 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 15486640 is about 3935.3068495354. The cubic root of 15486640 is about 249.2598911175.

The spelling of 15486640 in words is "fifteen million, four hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 14891 29782 59564 74455 119128 148910 193583 238256 297820 387166 595640 774332 967915 1191280 1548664 1935830 3097328 3871660 7743320 15486640