Search a number
-
+
12542220 = 22325591181
BaseRepresentation
bin101111110110…
…000100001100
3212121012200200
4233312010030
511202322340
61124453500
7211415145
oct57660414
925535620
1012542220
117097179
12424a290
1327a1a42
141946acc
15117b330
hexbf610c

12542220 has 72 divisors (see below), whose sum is σ = 38722320. Its totient is φ = 3285120.

The previous prime is 12542191. The next prime is 12542227. The reversal of 12542220 is 2224521.

12542220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12542193 and 12542202.

It is not an unprimeable number, because it can be changed into a prime (12542227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10030 + ... + 11210.

It is an arithmetic number, because the mean of its divisors is an integer number (537810).

Almost surely, 212542220 is an apocalyptic number.

12542220 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 12542220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19361160).

12542220 is an abundant number, since it is smaller than the sum of its proper divisors (26180100).

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

12542220 is a wasteful number, since it uses less digits than its factorization.

12542220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 12542220 is about 3541.4996823380. The cubic root of 12542220 is about 232.3404385605.

12542220 divided by its sum of digits (18) gives a triangular number (696790 = T1180).

Adding to 12542220 its reverse (2224521), we get a palindrome (14766741).

The spelling of 12542220 in words is "twelve million, five hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1181 1770 2124 2362 2655 3540 3543 4724 5310 5905 7086 10620 10629 11810 14172 17715 21258 23620 35430 42516 53145 69679 70860 106290 139358 209037 212580 278716 348395 418074 627111 696790 836148 1045185 1254222 1393580 2090370 2508444 3135555 4180740 6271110 12542220