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505104 = 24317619
BaseRepresentation
bin1111011010100010000
3221122212120
41323110100
5112130404
614454240
74202415
oct1732420
9848776
10505104
11315546
12204380
13148ba2
14d210c
159e9d9
hex7b510

505104 has 40 divisors (see below), whose sum is σ = 1383840. Its totient is φ = 158208.

The previous prime is 505097. The next prime is 505111. The reversal of 505104 is 401505.

It is an interprime number because it is at equal distance from previous prime (505097) and next prime (505111).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 507 + ... + 1125.

It is an arithmetic number, because the mean of its divisors is an integer number (34596).

2505104 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 505104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691920).

505104 is an abundant number, since it is smaller than the sum of its proper divisors (878736).

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

505104 is a wasteful number, since it uses less digits than its factorization.

505104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 505104 is about 710.7066905553. The cubic root of 505104 is about 79.6392086494.

Adding to 505104 its reverse (401505), we get a palindrome (906609).

The spelling of 505104 in words is "five hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 619 816 1238 1857 2476 3714 4952 7428 9904 10523 14856 21046 29712 31569 42092 63138 84184 126276 168368 252552 505104