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3860769960 = 2333515592293
BaseRepresentation
bin1110011000011110…
…1010110010101000
3100222001201102202000
43212013222302220
530401324114320
61435033411000
7164450001045
oct34607526250
910861642660
103860769960
111701338683
128b8b69a60
13496b23988
14288a701cc
15178e21c90
hexe61eaca8

3860769960 has 128 divisors (see below), whose sum is σ = 12883104000. Its totient is φ = 1028429568.

The previous prime is 3860769959. The next prime is 3860769967. The reversal of 3860769960 is 699670683.

It is a happy number.

3860769960 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 3860769897 and 3860769906.

It is not an unprimeable number, because it can be changed into a prime (3860769967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1682574 + ... + 1684866.

It is an arithmetic number, because the mean of its divisors is an integer number (100649250).

Almost surely, 23860769960 is an apocalyptic number.

3860769960 is a gapful number since it is divisible by the number (30) 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 3860769960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441552000).

3860769960 is an abundant number, since it is smaller than the sum of its proper divisors (9022334040).

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

3860769960 is a wasteful number, since it uses less digits than its factorization.

3860769960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3872 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 3860769960 is about 62135.0944314081. The cubic root of 3860769960 is about 1568.7653023909.

The spelling of 3860769960 in words is "three billion, eight hundred sixty million, seven hundred sixty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1559 2293 3118 4586 4677 6236 6879 7795 9172 9354 11465 12472 13758 14031 15590 18344 18708 20637 22930 23385 27516 28062 31180 34395 37416 41274 42093 45860 46770 55032 56124 61911 62360 68790 70155 82548 84186 91720 93540 103185 112248 123822 137580 140310 165096 168372 187080 206370 210465 247644 275160 280620 309555 336744 412740 420930 495288 561240 619110 825480 841860 1238220 1683720 2476440 3574787 7149574 10724361 14299148 17873935 21448722 28598296 32173083 35747870 42897444 53621805 64346166 71495740 85794888 96519249 107243610 128692332 142991480 160865415 193038498 214487220 257384664 321730830 386076996 428974440 482596245 643461660 772153992 965192490 1286923320 1930384980 3860769960