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505940660 = 225236591669
BaseRepresentation
bin11110001010000…
…000101010110100
31022021000110002222
4132022000222310
52014010100120
6122112021512
715352265441
oct3612005264
91267013088
10505940660
1123a654785
12121531898
1380a85094
144b2a09c8
152e63d525
hex1e280ab4

505940660 has 48 divisors (see below), whose sum is σ = 1111017600. Its totient is φ = 193167744.

The previous prime is 505940657. The next prime is 505940681. The reversal of 505940660 is 66049505.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 505940660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302306 + ... + 303974.

It is an arithmetic number, because the mean of its divisors is an integer number (23146200).

Almost surely, 2505940660 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 505940660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555508800).

505940660 is an abundant number, since it is smaller than the sum of its proper divisors (605076940).

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

505940660 is a wasteful number, since it uses less digits than its factorization.

505940660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 505940660 is about 22493.1247273472. The cubic root of 505940660 is about 796.8315615640.

The spelling of 505940660 in words is "five hundred five million, nine hundred forty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 659 1318 1669 2636 3295 3338 6590 6676 8345 13180 15157 16690 30314 33380 38387 60628 75785 76774 151570 153548 191935 303140 383870 767740 1099871 2199742 4399484 5499355 10998710 21997420 25297033 50594066 101188132 126485165 252970330 505940660