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15085420 = 2257277389
BaseRepresentation
bin111001100010…
…111101101100
31001101102022021
4321202331230
512330213140
61255155524
7242136550
oct71427554
931342267
1015085420
118573999
125075ba4
1331824ac
142009860
1514ceb4a
hexe62f6c

15085420 has 48 divisors (see below), whose sum is σ = 36429120. Its totient is φ = 5140224.

The previous prime is 15085397. The next prime is 15085429. The reversal of 15085420 is 2458051.

It is not an unprimeable number, because it can be changed into a prime (15085429) 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, 38586 + ... + 38974.

It is an arithmetic number, because the mean of its divisors is an integer number (758940).

Almost surely, 215085420 is an apocalyptic number.

15085420 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 15085420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18214560).

15085420 is an abundant number, since it is smaller than the sum of its proper divisors (21343700).

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

15085420 is a wasteful number, since it uses less digits than its factorization.

15085420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 15085420 is about 3883.9953655997. The cubic root of 15085420 is about 247.0884634529.

The spelling of 15085420 in words is "fifteen million, eighty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 277 389 554 778 1108 1385 1556 1939 1945 2723 2770 3878 3890 5446 5540 7756 7780 9695 10892 13615 19390 27230 38780 54460 107753 215506 431012 538765 754271 1077530 1508542 2155060 3017084 3771355 7542710 15085420