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3872754060 = 2235713966337
BaseRepresentation
bin1110011011010101…
…1000100110001100
3100222220021021211120
43212311120212030
530412411112220
61440142320540
7164653603110
oct34665304614
910886237746
103872754060
11170808349a
12900b89150
1349945b666
1428a4ad740
15179edca40
hexe6d5898c

3872754060 has 96 divisors (see below), whose sum is σ = 12482158080. Its totient is φ = 878819328.

The previous prime is 3872754023. The next prime is 3872754077. The reversal of 3872754060 is 604572783.

3872754060 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 (42).

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, 25212 + ... + 91548.

It is an arithmetic number, because the mean of its divisors is an integer number (130022480).

Almost surely, 23872754060 is an apocalyptic number.

3872754060 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 3872754060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241079040).

3872754060 is an abundant number, since it is smaller than the sum of its proper divisors (8609404020).

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

3872754060 is a wasteful number, since it uses less digits than its factorization.

3872754060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66495 (or 66493 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 3872754060 is about 62231.4555510314. The cubic root of 3872754060 is about 1570.3868115295.

The spelling of 3872754060 in words is "three billion, eight hundred seventy-two million, seven hundred fifty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 139 140 210 278 417 420 556 695 834 973 1390 1668 1946 2085 2780 2919 3892 4170 4865 5838 8340 9730 11676 14595 19460 29190 58380 66337 132674 199011 265348 331685 398022 464359 663370 796044 928718 995055 1326740 1393077 1857436 1990110 2321795 2786154 3980220 4643590 5572308 6965385 9220843 9287180 13930770 18441686 27662529 27861540 36883372 46104215 55325058 64545901 92208430 110650116 129091802 138312645 184416860 193637703 258183604 276625290 322729505 387275406 553250580 645459010 774550812 968188515 1290918020 1936377030 3872754060