Search a number
-
+
512500140 = 223254216763
BaseRepresentation
bin11110100011000…
…010000110101100
31022201100201000200
4132203002012230
52022200001030
6122504353500
715462115335
oct3643020654
91281321020
10512500140
11243324a39
12123775890
1382240929
144c0cb28c
152eed6d60
hex1e8c21ac

512500140 has 72 divisors (see below), whose sum is σ = 1558506768. Its totient is φ = 136321920.

The previous prime is 512500133. The next prime is 512500193. The reversal of 512500140 is 41005215.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 72399 + ... + 79161.

Almost surely, 2512500140 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 512500140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779253384).

512500140 is an abundant number, since it is smaller than the sum of its proper divisors (1046006628).

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

512500140 is a wasteful number, since it uses less digits than its factorization.

512500140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7199 (or 7194 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 512500140 is about 22638.4659374261. The cubic root of 512500140 is about 800.2604048108.

Adding to 512500140 its reverse (41005215), we get a palindrome (553505355).

The spelling of 512500140 in words is "five hundred twelve million, five hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 421 842 1263 1684 2105 2526 3789 4210 5052 6315 6763 7578 8420 12630 13526 15156 18945 20289 25260 27052 33815 37890 40578 60867 67630 75780 81156 101445 121734 135260 202890 243468 304335 405780 608670 1217340 2847223 5694446 8541669 11388892 14236115 17083338 25625007 28472230 34166676 42708345 51250014 56944460 85416690 102500028 128125035 170833380 256250070 512500140