Search a number
-
+
65140680 = 23351161809
BaseRepresentation
bin1111100001111…
…1011111001000
311112120111012210
43320133133020
5113134000210
610244105120
71420454343
oct370373710
9145514183
1065140680
1133852180
12199951a0
1310659aa7
14891945a
155abae20
hex3e1f7c8

65140680 has 128 divisors (see below), whose sum is σ = 216950400. Its totient is φ = 15513600.

The previous prime is 65140679. The next prime is 65140693. The reversal of 65140680 is 8604156.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 80116 + ... + 80924.

It is an arithmetic number, because the mean of its divisors is an integer number (1694925).

Almost surely, 265140680 is an apocalyptic number.

65140680 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 65140680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108475200).

65140680 is an abundant number, since it is smaller than the sum of its proper divisors (151809720).

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

65140680 is a wasteful number, since it uses less digits than its factorization.

65140680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 65140680 is about 8070.9776359497. The cubic root of 65140680 is about 402.3624364331.

The spelling of 65140680 in words is "sixty-five million, one hundred forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 61 66 88 110 120 122 132 165 183 220 244 264 305 330 366 440 488 610 660 671 732 809 915 1220 1320 1342 1464 1618 1830 2013 2427 2440 2684 3236 3355 3660 4026 4045 4854 5368 6472 6710 7320 8052 8090 8899 9708 10065 12135 13420 16104 16180 17798 19416 20130 24270 26697 26840 32360 35596 40260 44495 48540 49349 53394 71192 80520 88990 97080 98698 106788 133485 148047 177980 197396 213576 246745 266970 296094 355960 394792 493490 533940 542839 592188 740235 986980 1067880 1085678 1184376 1480470 1628517 1973960 2171356 2714195 2960940 3257034 4342712 5428390 5921880 6514068 8142585 10856780 13028136 16285170 21713560 32570340 65140680