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65653140 = 223572137163
BaseRepresentation
bin1111101001110…
…0100110010100
311120112112011210
43322130212110
5113301400030
610303101420
71425020400
oct372344624
9146475153
1065653140
11340721a3
1219ba1870
13107a9117
148a10100
155b6cbb0
hex3e9c994

65653140 has 144 divisors (see below), whose sum is σ = 216724032. Its totient is φ = 14805504.

The previous prime is 65653111. The next prime is 65653153. The reversal of 65653140 is 4135656.

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

It is a junction number, because it is equal to n+sod(n) for n = 65653098 and 65653107.

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, 402699 + ... + 402861.

It is an arithmetic number, because the mean of its divisors is an integer number (1505028).

Almost surely, 265653140 is an apocalyptic number.

65653140 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 65653140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108362016).

65653140 is an abundant number, since it is smaller than the sum of its proper divisors (151070892).

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

65653140 is a wasteful number, since it uses less digits than its factorization.

65653140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 65653140 is about 8102.6625253678. The cubic root of 65653140 is about 403.4148064512.

Adding to 65653140 its reverse (4135656), we get a palindrome (69788796).

The spelling of 65653140 in words is "sixty-five million, six hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 137 140 147 163 196 210 245 274 294 326 411 420 489 490 548 588 652 685 735 815 822 959 978 980 1141 1370 1470 1630 1644 1918 1956 2055 2282 2445 2740 2877 2940 3260 3423 3836 4110 4564 4795 4890 5705 5754 6713 6846 7987 8220 9590 9780 11410 11508 13426 13692 14385 15974 17115 19180 20139 22331 22820 23961 26852 28770 31948 33565 34230 39935 40278 44662 47922 57540 66993 67130 68460 79870 80556 89324 95844 100695 111655 119805 133986 134260 156317 159740 201390 223310 239610 267972 312634 334965 402780 446620 468951 479220 625268 669930 781585 937902 1094219 1339860 1563170 1875804 2188438 2344755 3126340 3282657 4376876 4689510 5471095 6565314 9379020 10942190 13130628 16413285 21884380 32826570 65653140