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12490290 = 23251371013
BaseRepresentation
bin101111101001…
…011000110010
3212111120110100
4233221120302
511144142130
61123413230
7211110561
oct57513062
925446410
1012490290
11706115a
124224216
132784207
141931bd8
15116ac60
hexbe9632

12490290 has 48 divisors (see below), whose sum is σ = 32744088. Its totient is φ = 3303168.

The previous prime is 12490273. The next prime is 12490301. The reversal of 12490290 is 9209421.

It can be written as a sum of positive squares in 4 ways, for example, as 6185169 + 6305121 = 2487^2 + 2511^2 .

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 23 ways as a sum of consecutive naturals, for example, 11824 + ... + 12836.

Almost surely, 212490290 is an apocalyptic number.

12490290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12490290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16372044).

12490290 is an abundant number, since it is smaller than the sum of its proper divisors (20253798).

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

12490290 is a wasteful number, since it uses less digits than its factorization.

12490290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12490290 is about 3534.1604377843. The cubic root of 12490290 is about 232.0193330104.

The spelling of 12490290 in words is "twelve million, four hundred ninety thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 274 411 685 822 1013 1233 1370 2026 2055 2466 3039 4110 5065 6078 6165 9117 10130 12330 15195 18234 30390 45585 91170 138781 277562 416343 693905 832686 1249029 1387810 2081715 2498058 4163430 6245145 12490290