Search a number
-
+
12357540 = 22325135281
BaseRepresentation
bin101111001000…
…111110100100
3212020211100200
4233020332210
511130420130
61120510500
7210015546
oct57107644
925224320
1012357540
116a80448
12417b430
132738970
1418d9696
151141760
hexbc8fa4

12357540 has 72 divisors (see below), whose sum is σ = 40375608. Its totient is φ = 3041280.

The previous prime is 12357539. The next prime is 12357557. The reversal of 12357540 is 4575321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 79524 + 12278016 = 282^2 + 3504^2 .

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, 301 + ... + 4980.

Almost surely, 212357540 is an apocalyptic number.

12357540 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 12357540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20187804).

12357540 is an abundant number, since it is smaller than the sum of its proper divisors (28018068).

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

12357540 is a wasteful number, since it uses less digits than its factorization.

12357540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5309 (or 5304 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 12357540 is about 3515.3292875633. The cubic root of 12357540 is about 231.1944166386.

The spelling of 12357540 in words is "twelve million, three hundred fifty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 5281 10562 15843 21124 26405 31686 47529 52810 63372 68653 79215 95058 105620 137306 158430 190116 205959 237645 274612 316860 343265 411918 475290 617877 686530 823836 950580 1029795 1235754 1373060 2059590 2471508 3089385 4119180 6178770 12357540