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39080430 = 2325676481
BaseRepresentation
bin1001010100010…
…1000111101110
32201112111021100
42111011013232
540001033210
63513343530
7653115054
oct225050756
981474240
1039080430
1120072784
1211107ba6
13813411c
1452941d4
15366e5c0
hex25451ee

39080430 has 48 divisors (see below), whose sum is σ = 103141584. Its totient is φ = 10264320.

The previous prime is 39080423. The next prime is 39080513. The reversal of 39080430 is 3408093.

39080430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 39080394 and 39080403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2790 + ... + 9270.

It is an arithmetic number, because the mean of its divisors is an integer number (2148783).

Almost surely, 239080430 is an apocalyptic number.

39080430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39080430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51570792).

39080430 is an abundant number, since it is smaller than the sum of its proper divisors (64061154).

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

39080430 is a wasteful number, since it uses less digits than its factorization.

39080430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6561 (or 6558 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 39080430 is about 6251.4342354375. The cubic root of 39080430 is about 339.3541082751.

The spelling of 39080430 in words is "thirty-nine million, eighty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 2010 3015 6030 6481 12962 19443 32405 38886 58329 64810 97215 116658 194430 291645 434227 583290 868454 1302681 2171135 2605362 3908043 4342270 6513405 7816086 13026810 19540215 39080430