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411242520 = 2335132391103
BaseRepresentation
bin11000100000110…
…001000000011000
31001122211021200110
4120200301000120
51320234230040
6104450204320
713122334533
oct3040610030
91048737613
10411242520
111a1154657
12b58836a0
1367279890
143c88da1a
1526184980
hex18831018

411242520 has 128 divisors (see below), whose sum is σ = 1335398400. Its totient is φ = 100713984.

The previous prime is 411242509. The next prime is 411242537. The reversal of 411242520 is 25242114.

411242520 = T157 + T158 + ... + T1351.

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, 372289 + ... + 373391.

It is an arithmetic number, because the mean of its divisors is an integer number (10432800).

Almost surely, 2411242520 is an apocalyptic number.

411242520 is a gapful number since it is divisible by the number (40) 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 411242520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667699200).

411242520 is an abundant number, since it is smaller than the sum of its proper divisors (924155880).

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

411242520 is a wasteful number, since it uses less digits than its factorization.

411242520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 411242520 is about 20279.1153653210. The cubic root of 411242520 is about 743.6455850406.

Adding to 411242520 its reverse (25242114), we get a palindrome (436484634).

The spelling of 411242520 in words is "four hundred eleven million, two hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 239 260 312 390 478 520 717 780 956 1103 1195 1434 1560 1912 2206 2390 2868 3107 3309 3585 4412 4780 5515 5736 6214 6618 7170 8824 9321 9560 11030 12428 13236 14339 14340 15535 16545 18642 22060 24856 26472 28678 28680 31070 33090 37284 43017 44120 46605 57356 62140 66180 71695 74568 86034 93210 114712 124280 132360 143390 172068 186420 215085 263617 286780 344136 372840 430170 527234 573560 790851 860340 1054468 1318085 1581702 1720680 2108936 2636170 3163404 3427021 3954255 5272340 6326808 6854042 7908510 10281063 10544680 13708084 15817020 17135105 20562126 27416168 31634040 34270210 41124252 51405315 68540420 82248504 102810630 137080840 205621260 411242520