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505046640 = 24357300623
BaseRepresentation
bin11110000110100…
…110011001110000
31022012100000202010
4132012212121300
52013242443030
6122040522520
715341553120
oct3606463160
91265300663
10505046640
1123a0a401a
12121180440
1380831187
144b10ac80
152e5136b0
hex1e1a6670

505046640 has 80 divisors (see below), whose sum is σ = 1789314048. Its totient is φ = 115438848.

The previous prime is 505046587. The next prime is 505046669. The reversal of 505046640 is 46640505.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 505046598 and 505046607.

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, 148632 + ... + 151991.

Almost surely, 2505046640 is an apocalyptic number.

It is an amenable number.

505046640 is an abundant number, since it is smaller than the sum of its proper divisors (1284267408).

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

505046640 is a wasteful number, since it uses less digits than its factorization.

505046640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300646 (or 300640 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 505046640 is about 22473.2427566651. The cubic root of 505046640 is about 796.3619390529.

The spelling of 505046640 in words is "five hundred five million, forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 300623 601246 901869 1202492 1503115 1803738 2104361 2404984 3006230 3607476 4208722 4509345 4809968 6012460 6313083 7214952 8417444 9018690 10521805 12024920 12626166 14429904 16834888 18037380 21043610 24049840 25252332 31565415 33669776 36074760 42087220 50504664 63130830 72149520 84174440 101009328 126261660 168348880 252523320 505046640