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15228240 = 2435107593
BaseRepresentation
bin111010000101…
…110101010000
31001122200012220
4322011311100
512344300430
61302221040
7243303126
oct72056520
931580186
1015228240
118661225
125124780
1332024c1
142045916
15150c110
hexe85d50

15228240 has 80 divisors (see below), whose sum is σ = 47729088. Its totient is φ = 4016128.

The previous prime is 15228221. The next prime is 15228251. The reversal of 15228240 is 4282251.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 15228240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25384 + ... + 25976.

Almost surely, 215228240 is an apocalyptic number.

15228240 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 15228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23864544).

15228240 is an abundant number, since it is smaller than the sum of its proper divisors (32500848).

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

15228240 is a wasteful number, since it uses less digits than its factorization.

15228240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 15228240 is about 3902.3377608813. The cubic root of 15228240 is about 247.8657789143.

The spelling of 15228240 in words is "fifteen million, two hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 240 321 428 535 593 642 856 1070 1186 1284 1605 1712 1779 2140 2372 2568 2965 3210 3558 4280 4744 5136 5930 6420 7116 8560 8895 9488 11860 12840 14232 17790 23720 25680 28464 35580 47440 63451 71160 126902 142320 190353 253804 317255 380706 507608 634510 761412 951765 1015216 1269020 1522824 1903530 2538040 3045648 3807060 5076080 7614120 15228240