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15268420 = 2253747439
BaseRepresentation
bin111010001111…
…101001000100
31001201201100001
4322033221010
512402042140
61303131044
7243531226
oct72175104
931651301
1015268420
118689432
125143a84
13321788b
142056416
151518e9a
hexe8fa44

15268420 has 48 divisors (see below), whose sum is σ = 33707520. Its totient is φ = 5802624.

The previous prime is 15268403. The next prime is 15268427. The reversal of 15268420 is 2486251.

15268420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (15268427) 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, 34561 + ... + 34999.

It is an arithmetic number, because the mean of its divisors is an integer number (702240).

Almost surely, 215268420 is an apocalyptic number.

15268420 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 15268420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16853760).

15268420 is an abundant number, since it is smaller than the sum of its proper divisors (18439100).

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

15268420 is a wasteful number, since it uses less digits than its factorization.

15268420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 15268420 is about 3907.4825655401. The cubic root of 15268420 is about 248.0835869821.

The spelling of 15268420 in words is "fifteen million, two hundred sixty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 47 74 94 148 185 188 235 370 439 470 740 878 940 1739 1756 2195 3478 4390 6956 8695 8780 16243 17390 20633 32486 34780 41266 64972 81215 82532 103165 162430 206330 324860 412660 763421 1526842 3053684 3817105 7634210 15268420