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1860134416 = 247314711399
BaseRepresentation
bin110111011011111…
…0110011000010000
311210122011121201021
41232313312120100
512302143300131
6504325045224
764044611260
oct15667663020
94718147637
101860134416
11874aa7578
1243ab56814
132384b626a
1413908b7a0
15ad485e11
hex6edf6610

1860134416 has 80 divisors (see below), whose sum is σ = 4342579200. Its totient is φ = 755003520.

The previous prime is 1860134387. The next prime is 1860134429. The reversal of 1860134416 is 6144310681.

It is a super-2 number, since 2×18601344162 = 6920200091175322112, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 157485 + ... + 168883.

It is an arithmetic number, because the mean of its divisors is an integer number (54282240).

Almost surely, 21860134416 is an apocalyptic number.

1860134416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1860134416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171289600).

1860134416 is an abundant number, since it is smaller than the sum of its proper divisors (2482444784).

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

1860134416 is a wasteful number, since it uses less digits than its factorization.

1860134416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11492 (or 11486 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 1860134416 is about 43129.2756257278. The cubic root of 1860134416 is about 1229.8385704816.

The spelling of 1860134416 in words is "one billion, eight hundred sixty million, one hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 47 56 62 94 112 124 188 217 248 329 376 434 496 658 752 868 1316 1457 1736 2632 2914 3472 5264 5828 10199 11399 11656 20398 22798 23312 40796 45596 79793 81592 91192 159586 163184 182384 319172 353369 535753 638344 706738 1071506 1276688 1413476 2143012 2473583 2826952 3750271 4286024 4947166 5653904 7500542 8572048 9894332 15001084 16608343 19788664 30002168 33216686 39577328 60004336 66433372 116258401 132866744 232516802 265733488 465033604 930067208 1860134416