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412210140 = 2235232811063
BaseRepresentation
bin11000100100011…
…101001111011100
31001201122110000020
4120210131033130
51321011211030
6104523032140
713133504556
oct3044351734
91051573006
10412210140
111a1755641
12b606b650
1367528134
143ca624d6
15262c6510
hex1891d3dc

412210140 has 96 divisors (see below), whose sum is σ = 1209793536. Its totient is φ = 104670720.

The previous prime is 412210079. The next prime is 412210177. The reversal of 412210140 is 41012214.

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, 387249 + ... + 388311.

It is an arithmetic number, because the mean of its divisors is an integer number (12602016).

Almost surely, 2412210140 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 412210140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604896768).

412210140 is an abundant number, since it is smaller than the sum of its proper divisors (797583396).

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

412210140 is a wasteful number, since it uses less digits than its factorization.

412210140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 412210140 is about 20302.9588976582. The cubic root of 412210140 is about 744.2283739323.

Adding to 412210140 its reverse (41012214), we get a palindrome (453222354).

The spelling of 412210140 in words is "four hundred twelve million, two hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 281 345 460 562 690 843 1063 1124 1380 1405 1686 2126 2810 3189 3372 4215 4252 5315 5620 6378 6463 8430 10630 12756 12926 15945 16860 19389 21260 24449 25852 31890 32315 38778 48898 63780 64630 73347 77556 96945 97796 122245 129260 146694 193890 244490 293388 298703 366735 387780 488980 597406 733470 896109 1194812 1466940 1493515 1792218 2987030 3584436 4480545 5974060 6870169 8961090 13740338 17922180 20610507 27480676 34350845 41221014 68701690 82442028 103052535 137403380 206105070 412210140