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4138290 = 235513131
BaseRepresentation
bin1111110010010100110010
321210020200000
433302110302
52024411130
6224410430
750113662
oct17622462
97706600
104138290
112377182
121476a16
13b1b7c0
1479a1a2
1556b260
hex3f2532

4138290 has 96 divisors (see below), whose sum is σ = 12108096. Its totient is φ = 1010880.

The previous prime is 4138289. The next prime is 4138291. The reversal of 4138290 is 928314.

It is an interprime number because it is at equal distance from previous prime (4138289) and next prime (4138291).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4138291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31525 + ... + 31655.

It is an arithmetic number, because the mean of its divisors is an integer number (126126).

Almost surely, 24138290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4138290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054048).

4138290 is an abundant number, since it is smaller than the sum of its proper divisors (7969806).

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

4138290 is a wasteful number, since it uses less digits than its factorization.

4138290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4138290 is about 2034.2787419624. The cubic root of 4138290 is about 160.5487667341.

The spelling of 4138290 in words is "four million, one hundred thirty-eight thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 131 135 162 195 234 243 262 270 351 390 393 405 486 585 655 702 786 810 1053 1170 1179 1215 1310 1703 1755 1965 2106 2358 2430 3159 3406 3510 3537 3930 5109 5265 5895 6318 7074 8515 10218 10530 10611 11790 15327 15795 17030 17685 21222 25545 30654 31590 31833 35370 45981 51090 53055 63666 76635 91962 106110 137943 153270 159165 229905 275886 318330 413829 459810 689715 827658 1379430 2069145 4138290