Search a number
-
+
265165040 = 24574111549
BaseRepresentation
bin11111100111000…
…01100011110000
3200110221210001102
433303201203300
51020340240130
642151223532
76366602630
oct1763414360
9613853042
10265165040
11126751468
1274977ba8
1342c221ba
14273066c0
151842c645
hexfce18f0

265165040 has 80 divisors (see below), whose sum is σ = 721828800. Its totient is φ = 88688640.

The previous prime is 265165039. The next prime is 265165073. The reversal of 265165040 is 40561562.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 265164994 and 265165012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17186 + ... + 28734.

It is an arithmetic number, because the mean of its divisors is an integer number (9022860).

Almost surely, 2265165040 is an apocalyptic number.

265165040 is a gapful number since it is divisible by the number (20) 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 265165040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360914400).

265165040 is an abundant number, since it is smaller than the sum of its proper divisors (456663760).

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

265165040 is a wasteful number, since it uses less digits than its factorization.

265165040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11610 (or 11604 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 265165040 is about 16283.8889703903. Note that the first 3 decimals coincide. The cubic root of 265165040 is about 642.4491443343.

The spelling of 265165040 in words is "two hundred sixty-five million, one hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 4592 5740 11480 11549 22960 23098 46196 57745 80843 92392 115490 161686 184784 230980 323372 404215 461960 473509 646744 808430 923920 947018 1293488 1616860 1894036 2367545 3233720 3314563 3788072 4735090 6467440 6629126 7576144 9470180 13258252 16572815 18940360 26516504 33145630 37880720 53033008 66291260 132582520 265165040