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510472074 = 237233171667
BaseRepresentation
bin11110011011010…
…010111110001010
31022120112200001010
4132123102332022
52021140101244
6122353104350
715435640530
oct3633227612
91276480033
10510472074
1124216a252
12122b580b6
13819b07a8
144bb20150
152ec35eb9
hex1e6d2f8a

510472074 has 64 divisors (see below), whose sum is σ = 1222096896. Its totient is φ = 138984384.

The previous prime is 510472057. The next prime is 510472093. The reversal of 510472074 is 470274015.

It is a super-2 number, since 2×5104720742 = 521163476667722952, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305389 + ... + 307055.

It is an arithmetic number, because the mean of its divisors is an integer number (19095264).

Almost surely, 2510472074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510472074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611048448).

510472074 is an abundant number, since it is smaller than the sum of its proper divisors (711624822).

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

510472074 is a wasteful number, since it uses less digits than its factorization.

510472074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019.

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 510472074 is about 22593.6290577676. The cubic root of 510472074 is about 799.2034122816.

The spelling of 510472074 in words is "five hundred ten million, four hundred seventy-two thousand, seventy-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 317 322 483 634 951 966 1667 1902 2219 3334 4438 5001 6657 7291 10002 11669 13314 14582 21873 23338 35007 38341 43746 51037 70014 76682 102074 115023 153111 230046 268387 306222 528439 536774 805161 1056878 1585317 1610322 3170634 3699073 7398146 11097219 12154097 22194438 24308194 36462291 72924582 85078679 170157358 255236037 510472074