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661056390 = 23451761787
BaseRepresentation
bin100111011001101…
…110101110000110
31201001220010220000
4213121232232012
52323212301030
6145332422130
722244613051
oct4731565606
91631803800
10661056390
1130a1704a5
12165477946
13a6c55637
1463b1ba98
153d07d860
hex2766eb86

661056390 has 160 divisors (see below), whose sum is σ = 1915350624. Its totient is φ = 162984960.

The previous prime is 661056367. The next prime is 661056397. The reversal of 661056390 is 93650166.

661056390 is a `hidden beast` number, since 6 + 6 + 1 + 0 + 563 + 90 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661056397) 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 79 ways as a sum of consecutive naturals, for example, 839577 + ... + 840363.

Almost surely, 2661056390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661056390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957675312).

661056390 is an abundant number, since it is smaller than the sum of its proper divisors (1254294234).

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

661056390 is a wasteful number, since it uses less digits than its factorization.

661056390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 661056390 is about 25711.0168993760. The cubic root of 661056390 is about 871.1230443374.

The spelling of 661056390 in words is "six hundred sixty-one million, fifty-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 61 81 85 90 102 122 135 153 162 170 183 255 270 305 306 366 405 459 510 549 610 765 787 810 915 918 1037 1098 1377 1530 1574 1647 1830 2074 2295 2361 2745 2754 3111 3294 3935 4590 4722 4941 5185 5490 6222 6885 7083 7870 8235 9333 9882 10370 11805 13379 13770 14166 15555 16470 18666 21249 23610 24705 26758 27999 31110 35415 40137 42498 46665 48007 49410 55998 63747 66895 70830 80274 83997 93330 96014 106245 120411 127494 133790 139995 144021 167994 200685 212490 240035 240822 279990 288042 318735 361233 401370 419985 432063 480070 602055 637470 720105 722466 816119 839970 864126 1083699 1204110 1296189 1440210 1632238 1806165 2160315 2167398 2448357 2592378 3612330 3888567 4080595 4320630 4896714 5418495 6480945 7345071 7777134 8161190 10836990 12241785 12961890 14690142 19442835 22035213 24483570 36725355 38885670 44070426 66105639 73450710 110176065 132211278 220352130 330528195 661056390