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12113460 = 22325173389
BaseRepresentation
bin101110001101…
…011000110100
3211210102112200
4232031120310
511100112320
61111344500
7204651132
oct56153064
924712480
1012113460
116924027
124082130
132681838
141874752
1510e4290
hexb8d634

12113460 has 72 divisors (see below), whose sum is σ = 37051560. Its totient is φ = 3203328.

The previous prime is 12113449. The next prime is 12113471. The reversal of 12113460 is 6431121.

It is a happy number.

12113460 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12113449) and next prime (12113471).

It can be written as a sum of positive squares in 4 ways, for example, as 2039184 + 10074276 = 1428^2 + 3174^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30946 + ... + 31334.

It is an arithmetic number, because the mean of its divisors is an integer number (514605).

Almost surely, 212113460 is an apocalyptic number.

12113460 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 12113460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18525780).

12113460 is an abundant number, since it is smaller than the sum of its proper divisors (24938100).

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

12113460 is a wasteful number, since it uses less digits than its factorization.

12113460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12113460 is about 3480.4396274034. The cubic root of 12113460 is about 229.6621378355.

Adding to 12113460 its reverse (6431121), we get a palindrome (18544581).

The spelling of 12113460 in words is "twelve million, one hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 346 389 519 692 778 865 1038 1167 1556 1557 1730 1945 2076 2334 2595 3114 3460 3501 3890 4668 5190 5835 6228 7002 7780 7785 10380 11670 14004 15570 17505 23340 31140 35010 67297 70020 134594 201891 269188 336485 403782 605673 672970 807564 1009455 1211346 1345940 2018910 2422692 3028365 4037820 6056730 12113460