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15240940 = 2251113732
BaseRepresentation
bin111010001000…
…111011101100
31001200022122021
4322020323230
512400202230
61302355524
7243355141
oct72107354
931608567
1015240940
11866a820
12512bba4
133208210
14204a3c8
151510c7a
hexe88eec

15240940 has 72 divisors (see below), whose sum is σ = 38123568. Its totient is φ = 5045760.

The previous prime is 15240937. The next prime is 15240941. The reversal of 15240940 is 4904251.

It is not an unprimeable number, because it can be changed into a prime (15240941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208744 + ... + 208816.

It is an arithmetic number, because the mean of its divisors is an integer number (529494).

Almost surely, 215240940 is an apocalyptic number.

15240940 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 15240940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19061784).

15240940 is an abundant number, since it is smaller than the sum of its proper divisors (22882628).

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

15240940 is a wasteful number, since it uses less digits than its factorization.

15240940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 15240940 is about 3903.9646514793. The cubic root of 15240940 is about 247.9346645440.

The spelling of 15240940 in words is "fifteen million, two hundred forty thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 73 110 130 143 146 220 260 286 292 365 572 715 730 803 949 1430 1460 1606 1898 2860 3212 3796 4015 4745 5329 8030 9490 10439 10658 16060 18980 20878 21316 26645 41756 52195 53290 58619 69277 104390 106580 117238 138554 208780 234476 277108 293095 346385 586190 692770 762047 1172380 1385540 1524094 3048188 3810235 7620470 15240940