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516130240 = 2657122717
BaseRepresentation
bin11110110000111…
…000010111000000
31022222012010120211
4132300320113000
52024112131430
6123114243504
715535014613
oct3660702700
91288163524
10516130240
1124538431a
12124a26594
1382c12012
144c79417a
15304a272a
hex1ec385c0

516130240 has 56 divisors (see below), whose sum is σ = 1246400352. Its totient is φ = 203535360.

The previous prime is 516130201. The next prime is 516130259. The reversal of 516130240 is 42031615.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11362 + ... + 34078.

Almost surely, 2516130240 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 516130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623200176).

516130240 is an abundant number, since it is smaller than the sum of its proper divisors (730270112).

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

516130240 is a wasteful number, since it uses less digits than its factorization.

516130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22805 (or 22795 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 516130240 is about 22718.4999504809. The cubic root of 516130240 is about 802.1454080539.

Adding to 516130240 its reverse (42031615), we get a palindrome (558161855).

The spelling of 516130240 in words is "five hundred sixteen million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 142 160 284 320 355 568 710 1136 1420 2272 2840 4544 5680 11360 22717 22720 45434 90868 113585 181736 227170 363472 454340 726944 908680 1453888 1612907 1817360 3225814 3634720 6451628 7269440 8064535 12903256 16129070 25806512 32258140 51613024 64516280 103226048 129032560 258065120 516130240