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523010040 = 23357679293
BaseRepresentation
bin11111001011000…
…111111111111000
31100110010122220020
4133023013333320
52032342310130
6123521530440
715650340420
oct3713077770
91313118806
10523010040
11249253203
121271a3a20
13844805c7
144d665480
1530db0e10
hex1f2c7ff8

523010040 has 128 divisors (see below), whose sum is σ = 1820136960. Its totient is φ = 117748224.

The previous prime is 523010023. The next prime is 523010053. The reversal of 523010040 is 40010325.

523010040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 51634 + ... + 60926.

It is an arithmetic number, because the mean of its divisors is an integer number (14219820).

Almost surely, 2523010040 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 523010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910068480).

523010040 is an abundant number, since it is smaller than the sum of its proper divisors (1297126920).

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

523010040 is a wasteful number, since it uses less digits than its factorization.

523010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9381 (or 9377 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 523010040 is about 22869.4127602787. The cubic root of 523010040 is about 805.6937758401.

Adding to 523010040 its reverse (40010325), we get a palindrome (563020365).

The spelling of 523010040 in words is "five hundred twenty-three million, ten thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 67 70 84 105 120 134 140 168 201 210 268 280 335 402 420 469 536 670 804 840 938 1005 1340 1407 1608 1876 2010 2345 2680 2814 3752 4020 4690 5628 7035 8040 9293 9380 11256 14070 18586 18760 27879 28140 37172 46465 55758 56280 65051 74344 92930 111516 130102 139395 185860 195153 223032 260204 278790 325255 371720 390306 520408 557580 622631 650510 780612 975765 1115160 1245262 1301020 1561224 1867893 1951530 2490524 2602040 3113155 3735786 3903060 4358417 4981048 6226310 7471572 7806120 8716834 9339465 12452620 13075251 14943144 17433668 18678930 21792085 24905240 26150502 34867336 37357860 43584170 52301004 65376255 74715720 87168340 104602008 130752510 174336680 261505020 523010040