Search a number
-
+
60665040 = 24325109773
BaseRepresentation
bin1110011101101…
…0110011010000
311020011002210100
43213122303100
5111012240130
610004132400
71334434002
oct347326320
9136132710
1060665040
11312755a7
1218397100
13c750897
1480b2372
1554d4c60
hex39dacd0

60665040 has 120 divisors (see below), whose sum is σ = 205868520. Its totient is φ = 16008192.

The previous prime is 60665023. The next prime is 60665051. The reversal of 60665040 is 4056606.

60665040 is a `hidden beast` number, since 6 + 0 + 6 + 650 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1498176 + 59166864 = 1224^2 + 7692^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 60664995 and 60665013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78094 + ... + 78866.

It is an arithmetic number, because the mean of its divisors is an integer number (1715571).

Almost surely, 260665040 is an apocalyptic number.

60665040 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 60665040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102934260).

60665040 is an abundant number, since it is smaller than the sum of its proper divisors (145203480).

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

60665040 is a wasteful number, since it uses less digits than its factorization.

60665040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 60665040 is about 7788.7765406385. The cubic root of 60665040 is about 392.9278658665.

The spelling of 60665040 in words is "sixty million, six hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 109 120 144 180 218 240 327 360 436 545 654 720 773 872 981 1090 1308 1546 1635 1744 1962 2180 2319 2616 3092 3270 3865 3924 4360 4638 4905 5232 6184 6540 6957 7730 7848 8720 9276 9810 11595 12368 13080 13914 15460 15696 18552 19620 23190 26160 27828 30920 34785 37104 39240 46380 55656 61840 69570 78480 84257 92760 111312 139140 168514 185520 252771 278280 337028 421285 505542 556560 674056 758313 842570 1011084 1263855 1348112 1516626 1685140 2022168 2527710 3033252 3370280 3791565 4044336 5055420 6066504 6740560 7583130 10110840 12133008 15166260 20221680 30332520 60665040