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505112076 = 223272936841
BaseRepresentation
bin11110000110110…
…110011000001100
31022012110100111200
4132012312120030
52013302041301
6122042145500
715342244650
oct3606663014
91265410450
10505112076
1123a1391a7
121211b2290
1380854bb1
144b126a60
152e527c86
hex1e1b660c

505112076 has 72 divisors (see below), whose sum is σ = 1464406944. Its totient is φ = 143804160.

The previous prime is 505112071. The next prime is 505112081. The reversal of 505112076 is 670211505.

It is an interprime number because it is at equal distance from previous prime (505112071) and next prime (505112081).

It is not an unprimeable number, because it can be changed into a prime (505112071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70416 + ... + 77256.

Almost surely, 2505112076 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 505112076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732203472).

505112076 is an abundant number, since it is smaller than the sum of its proper divisors (959294868).

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

505112076 is a wasteful number, since it uses less digits than its factorization.

505112076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7151 (or 7146 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 505112076 is about 22474.6985741745. The cubic root of 505112076 is about 796.3963309192.

The spelling of 505112076 in words is "five hundred five million, one hundred twelve thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 293 586 879 1172 1758 2051 2637 3516 4102 5274 6153 6841 8204 10548 12306 13682 18459 20523 24612 27364 36918 41046 47887 61569 73836 82092 95774 123138 143661 191548 246276 287322 430983 574644 861966 1723932 2004413 4008826 6013239 8017652 12026478 14030891 18039717 24052956 28061782 36079434 42092673 56123564 72158868 84185346 126278019 168370692 252556038 505112076