Search a number
-
+
65011920 = 24351953269
BaseRepresentation
bin1111100000000…
…0000011010000
311112022221120220
43320000003100
5113120340140
610241233040
71416410061
oct370000320
9145287526
1065011920
1133774466
1219932780
13106132bc
1488c4568
155a92bd0
hex3e000d0

65011920 has 160 divisors (see below), whose sum is σ = 216950400. Its totient is φ = 16054272.

The previous prime is 65011913. The next prime is 65011957. The reversal of 65011920 is 2911056.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241546 + ... + 241814.

It is an arithmetic number, because the mean of its divisors is an integer number (1355940).

Almost surely, 265011920 is an apocalyptic number.

65011920 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 65011920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108475200).

65011920 is an abundant number, since it is smaller than the sum of its proper divisors (151938480).

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

65011920 is a wasteful number, since it uses less digits than its factorization.

65011920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 65011920 is about 8062.9969614282. The cubic root of 65011920 is about 402.0971523315.

Adding to 65011920 its reverse (2911056), we get a palindrome (67922976).

The spelling of 65011920 in words is "sixty-five million, eleven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 53 57 60 76 80 95 106 114 120 152 159 190 212 228 240 265 269 285 304 318 380 424 456 530 538 570 636 760 795 807 848 912 1007 1060 1076 1140 1272 1345 1520 1590 1614 2014 2120 2152 2280 2544 2690 3021 3180 3228 4028 4035 4240 4304 4560 5035 5111 5380 6042 6360 6456 8056 8070 10070 10222 10760 12084 12720 12912 14257 15105 15333 16112 16140 20140 20444 21520 24168 25555 28514 30210 30666 32280 40280 40888 42771 48336 51110 57028 60420 61332 64560 71285 76665 80560 81776 85542 102220 114056 120840 122664 142570 153330 171084 204440 213855 228112 241680 245328 270883 285140 306660 342168 408880 427710 541766 570280 613320 684336 812649 855420 1083532 1140560 1226640 1354415 1625298 1710840 2167064 2708830 3250596 3421680 4063245 4334128 5417660 6501192 8126490 10835320 13002384 16252980 21670640 32505960 65011920