Search a number
-
+
65434860 = 2232519353
BaseRepresentation
bin1111100110011…
…1010011101100
311120010102202100
43321213103230
5113222403420
610254255100
71423121121
oct371472354
9146112670
1065434860
1133a331a7
1219ab7490
131073096a
148994748
155b28190
hex3e674ec

65434860 has 144 divisors (see below), whose sum is σ = 213464160. Its totient is φ = 16219008.

The previous prime is 65434849. The next prime is 65434861. The reversal of 65434860 is 6843456.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (65434861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1234594 + ... + 1234646.

It is an arithmetic number, because the mean of its divisors is an integer number (1482390).

Almost surely, 265434860 is an apocalyptic number.

65434860 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 65434860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106732080).

65434860 is an abundant number, since it is smaller than the sum of its proper divisors (148029300).

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

65434860 is a wasteful number, since it uses less digits than its factorization.

65434860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 65434860 is about 8089.1816644207. The cubic root of 65434860 is about 402.9672261624.

The spelling of 65434860 in words is "sixty-five million, four hundred thirty-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 53 57 60 76 90 95 106 114 159 171 180 190 212 228 265 285 318 342 361 380 477 530 570 636 684 722 795 855 954 1007 1060 1083 1140 1444 1590 1710 1805 1908 2014 2166 2385 3021 3180 3249 3420 3610 4028 4332 4770 5035 5415 6042 6498 6859 7220 9063 9540 10070 10830 12084 12996 13718 15105 16245 18126 19133 20140 20577 21660 27436 30210 32490 34295 36252 38266 41154 45315 57399 60420 61731 64980 68590 76532 82308 90630 95665 102885 114798 123462 137180 172197 181260 191330 205770 229596 246924 286995 308655 344394 363527 382660 411540 573990 617310 688788 727054 860985 1090581 1147980 1234620 1454108 1721970 1817635 2181162 3271743 3443940 3635270 4362324 5452905 6543486 7270540 10905810 13086972 16358715 21811620 32717430 65434860