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660527040 = 26352332953
BaseRepresentation
bin100111010111101…
…101011111000000
31201000220020202110
4213113231133000
52323043331130
6145313215320
722240246545
oct4727553700
91630806673
10660527040
11309939818
12165261540
13a6acb704
1463a20bcc
153cec6ab0
hex275ed7c0

660527040 has 112 divisors (see below), whose sum is σ = 2106887328. Its totient is φ = 175325184.

The previous prime is 660527011. The next prime is 660527047. The reversal of 660527040 is 40725066.

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 = 660526989 and 660527007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (660527047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222204 + ... + 225156.

It is an arithmetic number, because the mean of its divisors is an integer number (18811494).

Almost surely, 2660527040 is an apocalyptic number.

660527040 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 660527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053443664).

660527040 is an abundant number, since it is smaller than the sum of its proper divisors (1446360288).

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

660527040 is a wasteful number, since it uses less digits than its factorization.

660527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 660527040 is about 25700.7206124653. The cubic root of 660527040 is about 870.8904609903.

The spelling of 660527040 in words is "six hundred sixty million, five hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 233 240 320 466 480 699 932 960 1165 1398 1864 2330 2796 2953 3495 3728 4660 5592 5906 6990 7456 8859 9320 11184 11812 13980 14765 14912 17718 18640 22368 23624 27960 29530 35436 37280 44295 44736 47248 55920 59060 70872 74560 88590 94496 111840 118120 141744 177180 188992 223680 236240 283488 354360 472480 566976 688049 708720 944960 1376098 1417440 2064147 2752196 2834880 3440245 4128294 5504392 6880490 8256588 10320735 11008784 13760980 16513176 20641470 22017568 27521960 33026352 41282940 44035136 55043920 66052704 82565880 110087840 132105408 165131760 220175680 330263520 660527040