Search a number
-
+
12852420 = 2235771431
BaseRepresentation
bin110001000001…
…110011000100
3220011222012120
4301001303010
511242234140
61135245540
7214146420
oct61016304
926158176
1012852420
117289239
1243798b0
13287cca9
1419c7b80
1511dd1d0
hexc41cc4

12852420 has 96 divisors (see below), whose sum is σ = 41803776. Its totient is φ = 2889600.

The previous prime is 12852419. The next prime is 12852421. The reversal of 12852420 is 2425821.

It is an interprime number because it is at equal distance from previous prime (12852419) and next prime (12852421).

It is not an unprimeable number, because it can be changed into a prime (12852421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29605 + ... + 30035.

It is an arithmetic number, because the mean of its divisors is an integer number (435456).

Almost surely, 212852420 is an apocalyptic number.

12852420 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 12852420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20901888).

12852420 is an abundant number, since it is smaller than the sum of its proper divisors (28951356).

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

12852420 is a wasteful number, since it uses less digits than its factorization.

12852420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 12852420 is about 3585.0271965496. The cubic root of 12852420 is about 234.2403112352.

The spelling of 12852420 in words is "twelve million, eight hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 71 84 105 140 142 210 213 284 355 420 426 431 497 710 852 862 994 1065 1293 1420 1491 1724 1988 2130 2155 2485 2586 2982 3017 4260 4310 4970 5172 5964 6034 6465 7455 8620 9051 9940 12068 12930 14910 15085 18102 25860 29820 30170 30601 36204 45255 60340 61202 90510 91803 122404 153005 181020 183606 214207 306010 367212 428414 459015 612020 642621 856828 918030 1071035 1285242 1836060 2142070 2570484 3213105 4284140 6426210 12852420