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412402140 = 2232515115173
BaseRepresentation
bin11000100101001…
…100000111011100
31001202000012101100
4120211030013130
51321033332030
6104531113100
713135234413
oct3045140734
91052005340
10412402140
111a1876917
12b6142790
1367594647
143cab247a
1526313360
hex1894c1dc

412402140 has 72 divisors (see below), whose sum is σ = 1259320608. Its totient is φ = 109238400.

The previous prime is 412402129. The next prime is 412402141. The reversal of 412402140 is 41204214.

412402140 is a `hidden beast` number, since 412 + 40 + 214 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412402141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19594 + ... + 34766.

It is an arithmetic number, because the mean of its divisors is an integer number (17490564).

Almost surely, 2412402140 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 412402140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629660304).

412402140 is an abundant number, since it is smaller than the sum of its proper divisors (846918468).

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

412402140 is a wasteful number, since it uses less digits than its factorization.

412402140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15339 (or 15334 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 412402140 is about 20307.6867220272. The cubic root of 412402140 is about 744.3439053520.

Adding to 412402140 its reverse (41204214), we get a palindrome (453606354).

The spelling of 412402140 in words is "four hundred twelve million, four hundred two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 151 180 302 453 604 755 906 1359 1510 1812 2265 2718 3020 4530 5436 6795 9060 13590 15173 27180 30346 45519 60692 75865 91038 136557 151730 182076 227595 273114 303460 455190 546228 682785 910380 1365570 2291123 2731140 4582246 6873369 9164492 11455615 13746738 20620107 22911230 27493476 34366845 41240214 45822460 68733690 82480428 103100535 137467380 206201070 412402140