Search a number
-
+
12491940 = 22351737331
BaseRepresentation
bin101111101001…
…110010100100
3212111122201110
4233221302210
511144220230
61123425020
7211115436
oct57516244
925448643
1012491940
11706241a
124225170
132784ba6
141932656
15116b4b0
hexbe9ca4

12491940 has 96 divisors (see below), whose sum is σ = 38150784. Its totient is φ = 3041280.

The previous prime is 12491939. The next prime is 12491971. The reversal of 12491940 is 4919421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12491898 and 12491907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37575 + ... + 37905.

It is an arithmetic number, because the mean of its divisors is an integer number (397404).

Almost surely, 212491940 is an apocalyptic number.

12491940 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 12491940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19075392).

12491940 is an abundant number, since it is smaller than the sum of its proper divisors (25658844).

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

12491940 is a wasteful number, since it uses less digits than its factorization.

12491940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 12491940 is about 3534.3938659974. The cubic root of 12491940 is about 232.0295493476.

It can be divided in two parts, 12491 and 940, that added together give a palindrome (13431).

The spelling of 12491940 in words is "twelve million, four hundred ninety-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 37 51 60 68 74 85 102 111 148 170 185 204 222 255 331 340 370 444 510 555 629 662 740 993 1020 1110 1258 1324 1655 1887 1986 2220 2516 3145 3310 3774 3972 4965 5627 6290 6620 7548 9435 9930 11254 12247 12580 16881 18870 19860 22508 24494 28135 33762 36741 37740 48988 56270 61235 67524 73482 84405 112540 122470 146964 168810 183705 208199 244940 337620 367410 416398 624597 734820 832796 1040995 1249194 2081990 2498388 3122985 4163980 6245970 12491940