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3960796040 = 235731379901
BaseRepresentation
bin1110110000010100…
…1111001110001000
3101020000221021201122
43230011033032020
531102430433130
61453005334412
7200103132215
oct35405171610
911200837648
103960796040
111752847763
12926567408
134b17762c6
1429806ab0c
15182ace2e5
hexec14f388

3960796040 has 64 divisors (see below), whose sum is σ = 9100730160. Its totient is φ = 1551052800.

The previous prime is 3960796039. The next prime is 3960796057. The reversal of 3960796040 is 406970693.

It can be written as a sum of positive squares in 8 ways, for example, as 3095141956 + 865654084 = 55634^2 + 29422^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3960795982 and 3960796000.

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, 395090 + ... + 404990.

Almost surely, 23960796040 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 3960796040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550365080).

3960796040 is an abundant number, since it is smaller than the sum of its proper divisors (5139934120).

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

3960796040 is a wasteful number, since it uses less digits than its factorization.

3960796040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10122 (or 10118 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 44.

The square root of 3960796040 is about 62934.8555253764. The cubic root of 3960796040 is about 1582.1979824068.

The spelling of 3960796040 in words is "three billion, nine hundred sixty million, seven hundred ninety-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 137 146 274 292 365 548 584 685 730 1096 1370 1460 2740 2920 5480 9901 10001 19802 20002 39604 40004 49505 50005 79208 80008 99010 100010 198020 200020 396040 400040 722773 1356437 1445546 2712874 2891092 3613865 5425748 5782184 6782185 7227730 10851496 13564370 14455460 27128740 28910920 54257480 99019901 198039802 396079604 495099505 792159208 990199010 1980398020 3960796040