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4130412 = 22311132983
BaseRepresentation
bin1111110000011001101100
321202211212020
433300121230
52024133122
6224310140
750052006
oct17603154
97684766
104130412
112371270
121472350
13b18040
14797376
15568c5c
hex3f066c

4130412 has 96 divisors (see below), whose sum is σ = 11854080. Its totient is φ = 1102080.

The previous prime is 4130389. The next prime is 4130437. The reversal of 4130412 is 2140314.

It is a junction number, because it is equal to n+sod(n) for n = 4130391 and 4130400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49723 + ... + 49805.

It is an arithmetic number, because the mean of its divisors is an integer number (123480).

Almost surely, 24130412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927040).

4130412 is an abundant number, since it is smaller than the sum of its proper divisors (7723668).

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

4130412 is a wasteful number, since it uses less digits than its factorization.

4130412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4130412 is about 2032.3415067355. The cubic root of 4130412 is about 160.4468239324.

Adding to 4130412 its reverse (2140314), we get a palindrome (6270726).

The spelling of 4130412 in words is "four million, one hundred thirty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 29 33 39 44 52 58 66 78 83 87 116 132 143 156 166 174 249 286 319 332 348 377 429 498 572 638 754 858 913 957 996 1079 1131 1276 1508 1716 1826 1914 2158 2262 2407 2739 3237 3652 3828 4147 4316 4524 4814 5478 6474 7221 8294 9628 10956 11869 12441 12948 14442 16588 23738 24882 26477 28884 31291 35607 47476 49764 52954 62582 71214 79431 93873 105908 125164 142428 158862 187746 317724 344201 375492 688402 1032603 1376804 2065206 4130412