Search a number
-
+
861501540 = 223547305497
BaseRepresentation
bin110011010110010…
…111100001100100
32020001001210221110
4303112113201210
53231021022130
6221252545020
730230433204
oct6326274144
92201053843
10861501540
11402327949
12200622170
13109637433
14825b8404
1550974ab0
hex33597864

861501540 has 48 divisors (see below), whose sum is σ = 2463535872. Its totient is φ = 224845056.

The previous prime is 861501533. The next prime is 861501559. The reversal of 861501540 is 45105168.

861501540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 861501498 and 861501507.

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, 149929 + ... + 155568.

It is an arithmetic number, because the mean of its divisors is an integer number (51323664).

Almost surely, 2861501540 is an apocalyptic number.

It is an amenable number.

861501540 is an abundant number, since it is smaller than the sum of its proper divisors (1602034332).

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

861501540 is a wasteful number, since it uses less digits than its factorization.

861501540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305556 (or 305554 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 861501540 is about 29351.3464767802. The cubic root of 861501540 is about 951.5216758298.

The spelling of 861501540 in words is "eight hundred sixty-one million, five hundred one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 305497 610994 916491 1221988 1527485 1832982 3054970 3665964 4582455 6109940 9164910 14358359 18329820 28716718 43075077 57433436 71791795 86150154 143583590 172300308 215375385 287167180 430750770 861501540