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12492040 = 2351122989
BaseRepresentation
bin101111101001…
…110100001000
3212111122212011
4233221310020
511144221130
61123425304
7211115641
oct57516410
925448764
1012492040
117062500
124225234
132784c52
1419326c8
15116b52a
hexbe9d08

12492040 has 96 divisors (see below), whose sum is σ = 32319000. Its totient is φ = 4336640.

The previous prime is 12492031. The next prime is 12492043. The reversal of 12492040 is 4029421.

12492040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8305924 + 4186116 = 2882^2 + 2046^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (12492043) 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, 140316 + ... + 140404.

Almost surely, 212492040 is an apocalyptic number.

12492040 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 12492040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16159500).

12492040 is an abundant number, since it is smaller than the sum of its proper divisors (19826960).

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

12492040 is a wasteful number, since it uses less digits than its factorization.

12492040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 12492040 is about 3534.4080126663. The cubic root of 12492040 is about 232.0301684906.

The spelling of 12492040 in words is "twelve million, four hundred ninety-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 89 110 116 121 145 178 220 232 242 290 319 356 440 445 484 580 605 638 712 890 968 979 1160 1210 1276 1595 1780 1958 2420 2552 2581 3190 3509 3560 3916 4840 4895 5162 6380 7018 7832 9790 10324 10769 12760 12905 14036 17545 19580 20648 21538 25810 28072 28391 35090 39160 43076 51620 53845 56782 70180 86152 103240 107690 113564 140360 141955 215380 227128 283910 312301 430760 567820 624602 1135640 1249204 1561505 2498408 3123010 6246020 12492040