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3886672740 = 2235313116719
BaseRepresentation
bin1110011110101001…
…1110101101100100
3101000212110102200020
43213222132231210
530424442011430
61441400515140
7165213113256
oct34752365544
911025412606
103886672740
111714a1a835
1290577bab0
1349c2c2a72
1428c293cd6
1517b33bb10
hexe7a9eb64

3886672740 has 96 divisors (see below), whose sum is σ = 11271536640. Its totient is φ = 999638400.

The previous prime is 3886672723. The next prime is 3886672759. The reversal of 3886672740 is 472766883.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575101 + ... + 581819.

It is an arithmetic number, because the mean of its divisors is an integer number (117411840).

Almost surely, 23886672740 is an apocalyptic number.

3886672740 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 3886672740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5635768320).

3886672740 is an abundant number, since it is smaller than the sum of its proper divisors (7384863900).

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

3886672740 is a wasteful number, since it uses less digits than its factorization.

3886672740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7073 (or 7071 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The square root of 3886672740 is about 62343.1851929303. The cubic root of 3886672740 is about 1572.2658858510.

The spelling of 3886672740 in words is "three billion, eight hundred eighty-six million, six hundred seventy-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 311 372 465 620 622 930 933 1244 1555 1860 1866 3110 3732 4665 6220 6719 9330 9641 13438 18660 19282 20157 26876 28923 33595 38564 40314 48205 57846 67190 80628 96410 100785 115692 134380 144615 192820 201570 208289 289230 403140 416578 578460 624867 833156 1041445 1249734 2082890 2089609 2499468 3124335 4165780 4179218 6248670 6268827 8358436 10448045 12497340 12537654 20896090 25075308 31344135 41792180 62688270 64777879 125376540 129555758 194333637 259111516 323889395 388667274 647778790 777334548 971668185 1295557580 1943336370 3886672740