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3860673140 = 22517293111259
BaseRepresentation
bin1110011000011101…
…0011001001110100
3100222001112111221002
43212013103021310
530401313020030
61435031342432
7164446115552
oct34607231164
910861474832
103860673140
111701281965
128b8b21a18
13496abb89c
14288a46bd2
15178e03245
hexe61d3274

3860673140 has 96 divisors (see below), whose sum is σ = 8915961600. Its totient is φ = 1397688320.

The previous prime is 3860673121. The next prime is 3860673161. The reversal of 3860673140 is 413760683.

3860673140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3860673094 and 3860673103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3065831 + ... + 3067089.

It is an arithmetic number, because the mean of its divisors is an integer number (92874600).

Almost surely, 23860673140 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 3860673140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457980800).

3860673140 is an abundant number, since it is smaller than the sum of its proper divisors (5055288460).

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

3860673140 is a wasteful number, since it uses less digits than its factorization.

3860673140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 3860673140 is about 62134.3153177051. The cubic root of 3860673140 is about 1568.7521885019.

The spelling of 3860673140 in words is "three billion, eight hundred sixty million, six hundred seventy-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 311 340 493 580 622 986 1244 1259 1555 1972 2465 2518 3110 4930 5036 5287 6220 6295 9019 9860 10574 12590 18038 21148 21403 25180 26435 36076 36511 42806 45095 52870 73022 85612 90190 105740 107015 146044 153323 180380 182555 214030 306646 365110 391549 428060 613292 620687 730220 766615 783098 1241374 1533230 1566196 1957745 2482748 3066460 3103435 3915490 6206870 6656333 7830980 11354921 12413740 13312666 22709842 26625332 33281665 45419684 56774605 66563330 113549210 133126660 193033657 227098420 386067314 772134628 965168285 1930336570 3860673140