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653800140 = 223357224709
BaseRepresentation
bin100110111110000…
…011001011001100
31200120020111012000
4212332003023030
52314333101030
6144513112300
722126131600
oct4676031314
91616214160
10653800140
113060647a4
12162b58690
13a55b48b6
1462b8d500
153c5e8860
hex26f832cc

653800140 has 144 divisors (see below), whose sum is σ = 2366229600. Its totient is φ = 149433984.

The previous prime is 653800111. The next prime is 653800151. The reversal of 653800140 is 41008356.

653800140 is a `hidden beast` number, since 653 + 8 + 0 + 0 + 1 + 4 + 0 = 666.

653800140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 14106 + ... + 38814.

It is an arithmetic number, because the mean of its divisors is an integer number (16432150).

Almost surely, 2653800140 is an apocalyptic number.

653800140 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 653800140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183114800).

653800140 is an abundant number, since it is smaller than the sum of its proper divisors (1712429460).

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

653800140 is a wasteful number, since it uses less digits than its factorization.

653800140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24741 (or 24726 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 653800140 is about 25569.5158342899. The cubic root of 653800140 is about 867.9239440818.

Adding to 653800140 its reverse (41008356), we get a palindrome (694808496).

The spelling of 653800140 in words is "six hundred fifty-three million, eight hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4410 5292 6615 8820 13230 24709 26460 49418 74127 98836 123545 148254 172963 222381 247090 296508 345926 370635 444762 494180 518889 667143 691852 741270 864815 889524 1037778 1111905 1210741 1334286 1482540 1556667 1729630 2075556 2223810 2421482 2594445 2668572 3113334 3335715 3459260 3632223 4447620 4670001 4842964 5188890 6053705 6226668 6671430 7264446 7783335 9340002 10377780 10896669 12107410 13342860 14528892 15566670 18161115 18680004 21793338 23350005 24214820 31133340 32690007 36322230 43586676 46700010 54483345 65380014 72644460 93400020 108966690 130760028 163450035 217933380 326900070 653800140