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39130364 = 22713193557
BaseRepresentation
bin1001010101000…
…1010011111100
32201122000202202
42111101103330
540004132424
63514411032
7653413460
oct225212374
981560682
1039130364
11200a7249
1211130a78
138150a80
1452a84a0
15367e2ae
hex25514fc

39130364 has 48 divisors (see below), whose sum is σ = 84869568. Its totient is φ = 15372288.

The previous prime is 39130319. The next prime is 39130369. The reversal of 39130364 is 46303193.

39130364 is digitally balanced in base 2, because in such base 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 (39130369) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 69974 + ... + 70530.

It is an arithmetic number, because the mean of its divisors is an integer number (1768116).

Almost surely, 239130364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39130364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42434784).

39130364 is an abundant number, since it is smaller than the sum of its proper divisors (45739204).

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

39130364 is a wasteful number, since it uses less digits than its factorization.

39130364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

The square root of 39130364 is about 6255.4267640186. The cubic root of 39130364 is about 339.4985803806.

The spelling of 39130364 in words is "thirty-nine million, one hundred thirty thousand, three hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 193 364 386 557 772 1114 1351 2228 2509 2702 3899 5018 5404 7241 7798 10036 14482 15596 17563 28964 35126 50687 70252 101374 107501 202748 215002 430004 752507 1397513 1505014 2795026 3010028 5590052 9782591 19565182 39130364