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12113400 = 23352131553
BaseRepresentation
bin101110001101…
…010111111000
3211210102110110
4232031113320
511100112100
61111344320
7204651015
oct56152770
924712413
1012113400
116923a82
1240820a0
1326817c0
14187470c
1510e4250
hexb8d5f8

12113400 has 96 divisors (see below), whose sum is σ = 40466160. Its totient is φ = 2979840.

The previous prime is 12113389. The next prime is 12113407. The reversal of 12113400 is 431121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12113407) 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, 7024 + ... + 8576.

Almost surely, 212113400 is an apocalyptic number.

12113400 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 12113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20233080).

12113400 is an abundant number, since it is smaller than the sum of its proper divisors (28352760).

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

12113400 is a wasteful number, since it uses less digits than its factorization.

12113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12113400 is about 3480.4310077920. The cubic root of 12113400 is about 229.6617586498.

Adding to 12113400 its reverse (431121), we get a palindrome (12544521).

The spelling of 12113400 in words is "twelve million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1553 1560 1950 2600 3106 3900 4659 6212 7765 7800 9318 12424 15530 18636 20189 23295 31060 37272 38825 40378 46590 60567 62120 77650 80756 93180 100945 116475 121134 155300 161512 186360 201890 232950 242268 302835 310600 403780 465900 484536 504725 605670 807560 931800 1009450 1211340 1514175 2018900 2422680 3028350 4037800 6056700 12113400