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2868743160 = 2332513957329
BaseRepresentation
bin1010101011111101…
…1000101111111000
321101221001020210200
42222333120233320
521333344240120
61152355042200
7131042625453
oct25277305770
97357036720
102868743160
111242370218
126808a0360
1336944897a
141d2dda49a
1511bcb7e90
hexaafd8bf8

2868743160 has 96 divisors (see below), whose sum is σ = 9390654000. Its totient is φ = 759481344.

The previous prime is 2868743117. The next prime is 2868743161. The reversal of 2868743160 is 613478682.

2868743160 is a `hidden beast` number, since 2 + 86 + 87 + 431 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2868743161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21376 + ... + 78704.

Almost surely, 22868743160 is an apocalyptic number.

2868743160 is a gapful number since it is divisible by the number (20) 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 2868743160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4695327000).

2868743160 is an abundant number, since it is smaller than the sum of its proper divisors (6521910840).

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

2868743160 is a wasteful number, since it uses less digits than its factorization.

2868743160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57485 (or 57478 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2868743160 is about 53560.6493612615. The cubic root of 2868743160 is about 1420.9012264856.

The spelling of 2868743160 in words is "two billion, eight hundred sixty-eight million, seven hundred forty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 139 180 278 360 417 556 695 834 1112 1251 1390 1668 2085 2502 2780 3336 4170 5004 5560 6255 8340 10008 12510 16680 25020 50040 57329 114658 171987 229316 286645 343974 458632 515961 573290 687948 859935 1031922 1146580 1375896 1719870 2063844 2293160 2579805 3439740 4127688 5159610 6879480 7968731 10319220 15937462 20638440 23906193 31874924 39843655 47812386 63749848 71718579 79687310 95624772 119530965 143437158 159374620 191249544 239061930 286874316 318749240 358592895 478123860 573748632 717185790 956247720 1434371580 2868743160