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15306972 = 2234013181
BaseRepresentation
bin111010011001…
…000011011100
31001210200012220
4322121003130
512404310342
61304025340
7244051512
oct72310334
931720186
1015306972
11870539a
125162250
13322c2a5
1420664b2
1515255ec
hexe990dc

15306972 has 24 divisors (see below), whose sum is σ = 35816592. Its totient is φ = 5088000.

The previous prime is 15306971. The next prime is 15306997. The reversal of 15306972 is 27960351.

15306972 is digitally balanced in base 2 and base 4, because in such bases 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 (15306971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3222 + ... + 6402.

It is an arithmetic number, because the mean of its divisors is an integer number (1492358).

Almost surely, 215306972 is an apocalyptic number.

15306972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15306972 is an abundant number, since it is smaller than the sum of its proper divisors (20509620).

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

15306972 is a wasteful number, since it uses less digits than its factorization.

15306972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3589 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 15306972 is about 3912.4125549333. The cubic root of 15306972 is about 248.2922110589.

The spelling of 15306972 in words is "fifteen million, three hundred six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 401 802 1203 1604 2406 3181 4812 6362 9543 12724 19086 38172 1275581 2551162 3826743 5102324 7653486 15306972