Search a number
-
+
5387340 = 22357101127
BaseRepresentation
bin10100100011010001001100
3101010201001010
4110203101030
52334343330
6311245220
763535350
oct24432114
911121033
105387340
11304a652
121979810
13116819a
14a03460
157163b0
hex52344c

5387340 has 96 divisors (see below), whose sum is σ = 17547264. Its totient is φ = 1209600.

The previous prime is 5387339. The next prime is 5387353. The reversal of 5387340 is 437835.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5387298 and 5387307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42357 + ... + 42483.

It is an arithmetic number, because the mean of its divisors is an integer number (182784).

Almost surely, 25387340 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 5387340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8773632).

5387340 is an abundant number, since it is smaller than the sum of its proper divisors (12159924).

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

5387340 is a wasteful number, since it uses less digits than its factorization.

5387340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 5387340 is about 2321.0644109977. The cubic root of 5387340 is about 175.3038530660.

The spelling of 5387340 in words is "five million, three hundred eighty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 101 105 127 140 202 210 254 303 381 404 420 505 508 606 635 707 762 889 1010 1212 1270 1414 1515 1524 1778 1905 2020 2121 2540 2667 2828 3030 3535 3556 3810 4242 4445 5334 6060 7070 7620 8484 8890 10605 10668 12827 13335 14140 17780 21210 25654 26670 38481 42420 51308 53340 64135 76962 89789 128270 153924 179578 192405 256540 269367 359156 384810 448945 538734 769620 897890 1077468 1346835 1795780 2693670 5387340