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12113040 = 2435411231
BaseRepresentation
bin101110001101…
…010010010000
3211210101222010
4232031102100
511100104130
61111342520
7204646662
oct56152220
924711863
1012113040
116923785
124081a40
1326815a4
141874532
1510e40b0
hexb8d490

12113040 has 80 divisors (see below), whose sum is σ = 38497536. Its totient is φ = 3148800.

The previous prime is 12112979. The next prime is 12113047. The reversal of 12113040 is 4031121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (12113047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9225 + ... + 10455.

Almost surely, 212113040 is an apocalyptic number.

12113040 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 12113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19248768).

12113040 is an abundant number, since it is smaller than the sum of its proper divisors (26384496).

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

12113040 is a wasteful number, since it uses less digits than its factorization.

12113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1282 counting only the distinct ones).

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

The square root of 12113040 is about 3480.3792896752. The cubic root of 12113040 is about 229.6594835095.

Adding to 12113040 its reverse (4031121), we get a palindrome (16144161).

The spelling of 12113040 in words is "twelve million, one hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1231 1640 1968 2460 2462 3280 3693 4920 4924 6155 7386 9840 9848 12310 14772 18465 19696 24620 29544 36930 49240 50471 59088 73860 98480 100942 147720 151413 201884 252355 295440 302826 403768 504710 605652 757065 807536 1009420 1211304 1514130 2018840 2422608 3028260 4037680 6056520 12113040