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505974 = 23721721
BaseRepresentation
bin1111011100001110110
3221201001210
41323201312
5112142344
614502250
74205100
oct1734166
9851053
10505974
11316167
12204986
131493c1
14d2570
159edb9
hex7b876

505974 has 24 divisors (see below), whose sum is σ = 1177848. Its totient is φ = 144480.

The previous prime is 505969. The next prime is 505979. The reversal of 505974 is 479505.

505974 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (505969) and next prime (505979).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 505974.

It is not an unprimeable number, because it can be changed into a prime (505979) by changing a digit.

505974 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 567 + ... + 1154.

It is an arithmetic number, because the mean of its divisors is an integer number (49077).

2505974 is an apocalyptic number.

505974 is an abundant number, since it is smaller than the sum of its proper divisors (671874).

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

505974 is a wasteful number, since it uses less digits than its factorization.

505974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 505974 is about 711.3184940658. The cubic root of 505974 is about 79.6849064131.

The spelling of 505974 in words is "five hundred five thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 1721 3442 5163 10326 12047 24094 36141 72282 84329 168658 252987 505974