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512381640 = 233531137737
BaseRepresentation
bin11110100010100…
…101001011001000
31022201010200110210
4132202211023020
52022132203030
6122502041120
715461113011
oct3642451310
91281120423
10512381640
11243253a01
121237191a0
13821cba04
144c09a008
152eeb1bb0
hex1e8a52c8

512381640 has 64 divisors (see below), whose sum is σ = 1586741760. Its totient is φ = 132226560.

The previous prime is 512381563. The next prime is 512381651. The reversal of 512381640 is 46183215.

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

It is a junction number, because it is equal to n+sod(n) for n = 512381598 and 512381607.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 65149 + ... + 72588.

It is an arithmetic number, because the mean of its divisors is an integer number (24792840).

Almost surely, 2512381640 is an apocalyptic number.

It is an amenable number.

512381640 is an abundant number, since it is smaller than the sum of its proper divisors (1074360120).

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

512381640 is a wasteful number, since it uses less digits than its factorization.

512381640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137782 (or 137778 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 512381640 is about 22635.8485593096. The cubic root of 512381640 is about 800.1987214665.

The spelling of 512381640 in words is "five hundred twelve million, three hundred eighty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 137737 275474 413211 550948 688685 826422 1101896 1377370 1652844 2066055 2754740 3305688 4132110 4269847 5509480 8264220 8539694 12809541 16528440 17079388 21349235 25619082 34158776 42698470 51238164 64047705 85396940 102476328 128095410 170793880 256190820 512381640