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12601940 = 22513192551
BaseRepresentation
bin110000000100…
…101001010100
3212201020121112
4300010221110
511211230230
61130034152
7212054231
oct60045124
925636545
1012601940
11712802a
124278958
1327c2c90
141960788
15118dd95
hexc04a54

12601940 has 48 divisors (see below), whose sum is σ = 30011520. Its totient is φ = 4406400.

The previous prime is 12601937. The next prime is 12601943. The reversal of 12601940 is 4910621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12601937) and next prime (12601943).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12601943) 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, 3665 + ... + 6215.

It is an arithmetic number, because the mean of its divisors is an integer number (625240).

Almost surely, 212601940 is an apocalyptic number.

12601940 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 12601940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15005760).

12601940 is an abundant number, since it is smaller than the sum of its proper divisors (17409580).

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

12601940 is a wasteful number, since it uses less digits than its factorization.

12601940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 12601940 is about 3549.9211258843. The cubic root of 12601940 is about 232.7086191659.

The spelling of 12601940 in words is "twelve million, six hundred one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 2551 4940 5102 10204 12755 25510 33163 48469 51020 66326 96938 132652 165815 193876 242345 331630 484690 630097 663260 969380 1260194 2520388 3150485 6300970 12601940