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2872368660 = 2235746314771
BaseRepresentation
bin1010101100110100…
…1101111000010100
321102011212110001110
42223031031320110
521340311244120
61153004455020
7131115505440
oct25315157024
97364773043
102872368660
1112444170a7
12681b4a470
1336a117c35
141d36a1820
1511c2822e0
hexab34de14

2872368660 has 96 divisors (see below), whose sum is σ = 9212055552. Its totient is φ = 655079040.

The previous prime is 2872368649. The next prime is 2872368661. The reversal of 2872368660 is 668632782.

It is a happy number.

2872368660 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872368661) 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, 187075 + ... + 201845.

It is an arithmetic number, because the mean of its divisors is an integer number (95958912).

Almost surely, 22872368660 is an apocalyptic number.

2872368660 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 2872368660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606027776).

2872368660 is an abundant number, since it is smaller than the sum of its proper divisors (6339686892).

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

2872368660 is a wasteful number, since it uses less digits than its factorization.

2872368660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15253 (or 15251 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 2872368660 is about 53594.4834847767. The cubic root of 2872368660 is about 1421.4995499205.

The spelling of 2872368660 in words is "two billion, eight hundred seventy-two million, three hundred sixty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 463 926 1389 1852 2315 2778 3241 4630 5556 6482 6945 9260 9723 12964 13890 14771 16205 19446 27780 29542 32410 38892 44313 48615 59084 64820 73855 88626 97230 103397 147710 177252 194460 206794 221565 295420 310191 413588 443130 516985 620382 886260 1033970 1240764 1550955 2067940 3101910 6203820 6838973 13677946 20516919 27355892 34194865 41033838 47872811 68389730 82067676 95745622 102584595 136779460 143618433 191491244 205169190 239364055 287236866 410338380 478728110 574473732 718092165 957456220 1436184330 2872368660