Search a number
-
+
3671665140 = 22351121338903
BaseRepresentation
bin1101101011011001…
…0010100111110100
3100110212212220200210
43122312102213310
530004421241030
61404200305420
7156662432043
oct33266224764
910425786623
103671665140
111614617400
12865772270
134668b2830
1426b8c655a
1516751abb0
hexdad929f4

3671665140 has 144 divisors (see below), whose sum is σ = 12169793664. Its totient is φ = 821610240.

The previous prime is 3671665133. The next prime is 3671665157. The reversal of 3671665140 is 415661763.

It is a super-2 number, since 2×36716651402 = 26962249800582439200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74929 + ... + 113831.

It is an arithmetic number, because the mean of its divisors is an integer number (84512456).

Almost surely, 23671665140 is an apocalyptic number.

3671665140 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 3671665140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6084896832).

3671665140 is an abundant number, since it is smaller than the sum of its proper divisors (8498128524).

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

3671665140 is a wasteful number, since it uses less digits than its factorization.

3671665140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38950 (or 38937 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 3671665140 is about 60594.2665604593. The cubic root of 3671665140 is about 1542.7220564904.

The spelling of 3671665140 in words is "three billion, six hundred seventy-one million, six hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 121 130 132 143 156 165 195 220 242 260 286 330 363 390 429 484 572 605 660 715 726 780 858 1210 1430 1452 1573 1716 1815 2145 2420 2860 3146 3630 4290 4719 6292 7260 7865 8580 9438 15730 18876 23595 31460 38903 47190 77806 94380 116709 155612 194515 233418 389030 427933 466836 505739 583545 778060 855866 1011478 1167090 1283799 1517217 1711732 2022956 2139665 2334180 2528695 2567598 3034434 4279330 4707263 5057390 5135196 5563129 6068868 6418995 7586085 8558660 9414526 10114780 11126258 12837990 14121789 15172170 16689387 18829052 22252516 23536315 25675980 27815645 28243578 30344340 33378774 47072630 55631290 56487156 61194419 66757548 70608945 83446935 94145260 111262580 122388838 141217890 166893870 183583257 244777676 282435780 305972095 333787740 367166514 611944190 734333028 917916285 1223888380 1835832570 3671665140