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511106490 = 23352836689
BaseRepresentation
bin11110011101101…
…101110110111010
31022121201220022000
4132131231312322
52021320401430
6122414441430
715444222246
oct3635556672
91277656260
10511106490
11242562964
12123203276
1381b7349b
144bc47426
152ed0de60
hex1e76ddba

511106490 has 64 divisors (see below), whose sum is σ = 1367971200. Its totient is φ = 135793152.

The previous prime is 511106489. The next prime is 511106503. The reversal of 511106490 is 94601115.

511106490 is a `hidden beast` number, since 5 + 1 + 1 + 10 + 649 + 0 = 666.

It is a super-2 number, since 2×5111064902 = 522459688240240200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73066 + ... + 79754.

It is an arithmetic number, because the mean of its divisors is an integer number (21374550).

Almost surely, 2511106490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511106490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683985600).

511106490 is an abundant number, since it is smaller than the sum of its proper divisors (856864710).

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

511106490 is a wasteful number, since it uses less digits than its factorization.

511106490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6988 (or 6982 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 511106490 is about 22607.6644083373. The cubic root of 511106490 is about 799.5343592343.

It can be divided in two parts, 51110 and 6490, that added together give a square (57600 = 2402).

The spelling of 511106490 in words is "five hundred eleven million, one hundred six thousand, four hundred ninety".