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15190240 = 2551367109
BaseRepresentation
bin111001111100…
…100011100000
31001120202002111
4321330203200
512342041430
61301325104
7243054262
oct71744340
931522074
1015190240
11863571a
125106794
1331bb110
142035b32
151500c2a
hexe7c8e0

15190240 has 96 divisors (see below), whose sum is σ = 39584160. Its totient is φ = 5474304.

The previous prime is 15190211. The next prime is 15190243. The reversal of 15190240 is 4209151.

15190240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15190243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139306 + ... + 139414.

It is an arithmetic number, because the mean of its divisors is an integer number (412335).

Almost surely, 215190240 is an apocalyptic number.

15190240 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 15190240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19792080).

15190240 is an abundant number, since it is smaller than the sum of its proper divisors (24393920).

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

15190240 is a wasteful number, since it uses less digits than its factorization.

15190240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 15190240 is about 3897.4658433397. The cubic root of 15190240 is about 247.6594354147.

Adding to 15190240 its reverse (4209151), we get a palindrome (19399391).

The spelling of 15190240 in words is "fifteen million, one hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 67 80 104 109 130 134 160 208 218 260 268 335 416 436 520 536 545 670 871 872 1040 1072 1090 1340 1417 1742 1744 2080 2144 2180 2680 2834 3484 3488 4355 4360 5360 5668 6968 7085 7303 8710 8720 10720 11336 13936 14170 14606 17420 17440 22672 27872 28340 29212 34840 36515 45344 56680 58424 69680 73030 94939 113360 116848 139360 146060 189878 226720 233696 292120 379756 474695 584240 759512 949390 1168480 1519024 1898780 3038048 3797560 7595120 15190240