Search a number
-
+
65989980 = 22325783631
BaseRepresentation
bin1111101110111…
…0110101011100
311121011122020100
43323232311130
5113343134410
610314221100
71430622420
oct373566534
9147148210
1065989980
1134282281
121a124790
1310896534
148a9ab80
155bd78c0
hex3eeed5c

65989980 has 144 divisors (see below), whose sum is σ = 231888384. Its totient is φ = 14878080.

The previous prime is 65989969. The next prime is 65989991. The reversal of 65989980 is 8998956.

65989980 = T104 + T105 + ... + T734.

It is an interprime number because it is at equal distance from previous prime (65989969) and next prime (65989991).

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, 104265 + ... + 104895.

It is an arithmetic number, because the mean of its divisors is an integer number (1610336).

Almost surely, 265989980 is an apocalyptic number.

65989980 is a gapful number since it is divisible by the number (60) 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 65989980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115944192).

65989980 is an abundant number, since it is smaller than the sum of its proper divisors (165898404).

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

65989980 is a wasteful number, since it uses less digits than its factorization.

65989980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 65989980 is about 8123.4216928583. The cubic root of 65989980 is about 404.1035499034.

The spelling of 65989980 in words is "sixty-five million, nine hundred eighty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 83 84 90 105 126 140 166 180 210 249 252 315 332 415 420 498 581 630 631 747 830 996 1162 1245 1260 1262 1494 1660 1743 1893 2324 2490 2524 2905 2988 3155 3486 3735 3786 4417 4980 5229 5679 5810 6310 6972 7470 7572 8715 8834 9465 10458 11358 11620 12620 13251 14940 17430 17668 18930 20916 22085 22716 26145 26502 28395 34860 37860 39753 44170 52290 52373 53004 56790 66255 79506 88340 104580 104746 113580 132510 157119 159012 198765 209492 261865 265020 314238 366611 397530 471357 523730 628476 733222 785595 795060 942714 1047460 1099833 1466444 1571190 1833055 1885428 2199666 2356785 3142380 3299499 3666110 4399332 4713570 5499165 6598998 7332220 9427140 10998330 13197996 16497495 21996660 32994990 65989980