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31029660 = 223251943211
BaseRepresentation
bin111011001011…
…1100110011100
32011101110200200
41312113212130
530420422120
63025023500
7524514324
oct166274634
964343620
1031029660
1116574052
12a484b90
13657585c
14419a284
152acde90
hex1d9799c

31029660 has 144 divisors (see below), whose sum is σ = 101861760. Its totient is φ = 7620480.

The previous prime is 31029659. The next prime is 31029683. The reversal of 31029660 is 6692013.

It is a happy number.

31029660 is a `hidden beast` number, since 310 + 296 + 60 = 666.

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, 146955 + ... + 147165.

Almost surely, 231029660 is an apocalyptic number.

31029660 is a gapful number since it is divisible by the number (30) 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 31029660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50930880).

31029660 is an abundant number, since it is smaller than the sum of its proper divisors (70832100).

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

31029660 is a wasteful number, since it uses less digits than its factorization.

31029660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 31029660 is about 5570.4272726605. The cubic root of 31029660 is about 314.2382197022.

The spelling of 31029660 in words is "thirty-one million, twenty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 43 45 57 60 76 86 90 95 114 129 171 172 180 190 211 215 228 258 285 342 380 387 422 430 516 570 633 645 684 774 817 844 855 860 1055 1140 1266 1290 1548 1634 1710 1899 1935 2110 2451 2532 2580 3165 3268 3420 3798 3870 4009 4085 4220 4902 6330 7353 7596 7740 8018 8170 9073 9495 9804 12027 12255 12660 14706 16036 16340 18146 18990 20045 24054 24510 27219 29412 36081 36292 36765 37980 40090 45365 48108 49020 54438 60135 72162 73530 80180 81657 90730 108876 120270 136095 144324 147060 163314 172387 180405 181460 240540 272190 326628 344774 360810 408285 517161 544380 689548 721620 816570 861935 1034322 1551483 1633140 1723870 2068644 2585805 3102966 3447740 5171610 6205932 7757415 10343220 15514830 31029660