Search a number
-
+
12351420 = 2233589257
BaseRepresentation
bin101111000111…
…011110111100
3212020111222000
4233013132330
511130221140
61120422300
7206661654
oct57073674
925214860
1012351420
116a76894
124177990
132735c43
1418d7364
15113ea30
hexbc77bc

12351420 has 96 divisors (see below), whose sum is σ = 39009600. Its totient is φ = 3244032.

The previous prime is 12351407. The next prime is 12351431. The reversal of 12351420 is 2415321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12351393 and 12351402.

It is a congruent number.

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, 47932 + ... + 48188.

It is an arithmetic number, because the mean of its divisors is an integer number (406350).

Almost surely, 212351420 is an apocalyptic number.

12351420 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 12351420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19504800).

12351420 is an abundant number, since it is smaller than the sum of its proper divisors (26658180).

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

12351420 is a wasteful number, since it uses less digits than its factorization.

12351420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12351420 is about 3514.4587065436. The cubic root of 12351420 is about 231.1562444385.

Adding to 12351420 its reverse (2415321), we get a palindrome (14766741).

The spelling of 12351420 in words is "twelve million, three hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 89 90 108 135 178 180 257 267 270 356 445 514 534 540 771 801 890 1028 1068 1285 1335 1542 1602 1780 2313 2403 2570 2670 3084 3204 3855 4005 4626 4806 5140 5340 6939 7710 8010 9252 9612 11565 12015 13878 15420 16020 22873 23130 24030 27756 34695 45746 46260 48060 68619 69390 91492 114365 137238 138780 205857 228730 274476 343095 411714 457460 617571 686190 823428 1029285 1235142 1372380 2058570 2470284 3087855 4117140 6175710 12351420