Search a number
-
+
3986537620 = 22513237127251
BaseRepresentation
bin1110110110011101…
…1011110010010100
3101021211101002112111
43231213123302110
531131023200440
61455325200404
7200535003442
oct35547336224
911254332474
103986537620
11176632979a
12933100104
134b6bb9c00
1429b64bb92
15184eb64ea
hexed9dbc94

3986537620 has 144 divisors (see below), whose sum is σ = 9420945408. Its totient is φ = 1415232000.

The previous prime is 3986537609. The next prime is 3986537663. The reversal of 3986537620 is 267356893.

It is a happy number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 15882495 + ... + 15882745.

It is an arithmetic number, because the mean of its divisors is an integer number (65423232).

Almost surely, 23986537620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3986537620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4710472704).

3986537620 is an abundant number, since it is smaller than the sum of its proper divisors (5434407788).

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

3986537620 is a wasteful number, since it uses less digits than its factorization.

3986537620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

The square root of 3986537620 is about 63139.0340439256. The cubic root of 3986537620 is about 1585.6182006701.

The spelling of 3986537620 in words is "three billion, nine hundred eighty-six million, five hundred thirty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 127 130 148 169 185 251 254 260 338 370 481 502 508 635 676 740 845 962 1004 1255 1270 1651 1690 1924 2405 2510 2540 3263 3302 3380 4699 4810 5020 6253 6526 6604 8255 9287 9398 9620 12506 13052 16315 16510 18574 18796 21463 23495 25012 31265 31877 32630 33020 37148 42419 42926 46435 46990 61087 62530 63754 65260 84838 85852 92870 93980 107315 120731 122174 125060 127508 159385 169676 185740 212095 214630 241462 244348 305435 318770 414401 424190 429260 482924 603655 610870 637540 794131 828802 848380 1179449 1207310 1221740 1569503 1588262 1657604 2072005 2358898 2414620 3139006 3176524 3970655 4144010 4717796 5387213 5897245 6278012 7847515 7941310 8288020 10774426 11794490 15332837 15695030 15882620 21548852 23588980 26936065 30665674 31390060 53872130 61331348 76664185 107744260 153328370 199326881 306656740 398653762 797307524 996634405 1993268810 3986537620