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414133590 = 235131061881
BaseRepresentation
bin11000101011110…
…010110101010110
31001212021011111010
4120223302311112
51322004233330
6105032153050
713156035363
oct3053626526
91055234433
10414133590
111a2849772
12b6838786
1367a4c780
143d00346a
15265563b0
hex18af2d56

414133590 has 32 divisors (see below), whose sum is σ = 1070377056. Its totient is φ = 101940480.

The previous prime is 414133589. The next prime is 414133631. The reversal of 414133590 is 95331414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530551 + ... + 531330.

It is an arithmetic number, because the mean of its divisors is an integer number (33449283).

Almost surely, 2414133590 is an apocalyptic number.

414133590 is an abundant number, since it is smaller than the sum of its proper divisors (656243466).

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

414133590 is a wasteful number, since it uses less digits than its factorization.

414133590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061904.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 414133590 is about 20350.2724797483. The cubic root of 414133590 is about 745.3841479364.

The spelling of 414133590 in words is "four hundred fourteen million, one hundred thirty-three thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 1061881 2123762 3185643 5309405 6371286 10618810 13804453 15928215 27608906 31856430 41413359 69022265 82826718 138044530 207066795 414133590