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506960 = 2456337
BaseRepresentation
bin1111011110001010000
3221202102022
41323301100
5112210320
614511012
74211006
oct1736120
9852368
10506960
11316983
12205468
1314999c
14d2a76
15a0325
hex7bc50

506960 has 20 divisors (see below), whose sum is σ = 1178868. Its totient is φ = 202752.

The previous prime is 506941. The next prime is 506963. The reversal of 506960 is 69605.

It can be written as a sum of positive squares in 2 ways, for example, as 179776 + 327184 = 424^2 + 572^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506960.

It is not an unprimeable number, because it can be changed into a prime (506963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3089 + ... + 3248.

2506960 is an apocalyptic number.

It is an amenable number.

506960 is an abundant number, since it is smaller than the sum of its proper divisors (671908).

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

506960 is a wasteful number, since it uses less digits than its factorization.

506960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6350 (or 6344 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 506960 is about 712.0112358664. The cubic root of 506960 is about 79.7366339304.

The spelling of 506960 in words is "five hundred six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6337 12674 25348 31685 50696 63370 101392 126740 253480 506960