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53640990 = 232513192127
BaseRepresentation
bin1100110010011…
…1111100011110
310201221020121100
43030213330132
5102213002430
65153413530
71220640504
oct314477436
9121836540
1053640990
11283082a7
1215b6a2a6
13b161740
1471a4674
154a98960
hex3327f1e

53640990 has 144 divisors (see below), whose sum is σ = 159763968. Its totient is φ = 12410496.

The previous prime is 53640973. The next prime is 53641031. The reversal of 53640990 is 9904635.

53640990 is a `hidden beast` number, since 5 + 3 + 640 + 9 + 9 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 422307 + ... + 422433.

It is an arithmetic number, because the mean of its divisors is an integer number (1109472).

Almost surely, 253640990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53640990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79881984).

53640990 is an abundant number, since it is smaller than the sum of its proper divisors (106122978).

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

53640990 is a wasteful number, since it uses less digits than its factorization.

53640990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 169 counting only the distinct ones).

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

The square root of 53640990 is about 7324.0009557618. Note that the first 3 decimals coincide. The cubic root of 53640990 is about 377.1368142725.

The spelling of 53640990 in words is "fifty-three million, six hundred forty thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 127 130 171 190 195 234 247 254 285 342 361 381 390 494 570 585 635 722 741 762 855 1083 1143 1170 1235 1270 1482 1651 1710 1805 1905 2166 2223 2286 2413 2470 3249 3302 3610 3705 3810 4446 4693 4826 4953 5415 5715 6498 7239 7410 8255 9386 9906 10830 11115 11430 12065 14079 14478 14859 16245 16510 21717 22230 23465 24130 24765 28158 29718 31369 32490 36195 42237 43434 45847 46930 49530 62738 70395 72390 74295 84474 91694 94107 108585 137541 140790 148590 156845 188214 211185 217170 229235 275082 282321 313690 412623 422370 458470 470535 564642 596011 687705 825246 941070 1192022 1375410 1411605 1788033 2063115 2823210 2980055 3576066 4126230 5364099 5960110 8940165 10728198 17880330 26820495 53640990