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512319140 = 225177392039
BaseRepresentation
bin11110100010010…
…101111010100100
31022201000111201222
4132202111322210
52022123203030
6122500435512
715460432544
oct3642257244
91281014658
10512319140
11243210a53
121236a8b98
13821a9428
144c081324
152ee9d3e5
hex1e895ea4

512319140 has 48 divisors (see below), whose sum is σ = 1141257600. Its totient is φ = 192517632.

The previous prime is 512319139. The next prime is 512319151. The reversal of 512319140 is 41913215.

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, 250241 + ... + 252279.

It is an arithmetic number, because the mean of its divisors is an integer number (23776200).

Almost surely, 2512319140 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 512319140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570628800).

512319140 is an abundant number, since it is smaller than the sum of its proper divisors (628938460).

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

512319140 is a wasteful number, since it uses less digits than its factorization.

512319140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 512319140 is about 22634.4679637053. The cubic root of 512319140 is about 800.1661842261.

The spelling of 512319140 in words is "five hundred twelve million, three hundred nineteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 739 1478 2039 2956 3695 4078 7390 8156 10195 12563 14780 20390 25126 34663 40780 50252 62815 69326 125630 138652 173315 251260 346630 693260 1506821 3013642 6027284 7534105 15068210 25615957 30136420 51231914 102463828 128079785 256159570 512319140