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5713890 = 2357213223
BaseRepresentation
bin10101110010111111100010
3101202021222120
4111302333202
52430321030
6322245110
766365400
oct25627742
911667876
105713890
113252a26
121ab6796
131250a00
14a8a470
1577d010
hex572fe2

5713890 has 144 divisors (see below), whose sum is σ = 18024768. Its totient is φ = 1153152.

The previous prime is 5713847. The next prime is 5713891. The reversal of 5713890 is 983175.

5713890 is a nontrivial binomial coefficient, being equal to C(3381, 2).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5713891) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 248419 + ... + 248441.

It is an arithmetic number, because the mean of its divisors is an integer number (125172).

Almost surely, 25713890 is an apocalyptic number.

5713890 is the 3380-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5713890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9012384).

5713890 is an abundant number, since it is smaller than the sum of its proper divisors (12310878).

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

5713890 is a wasteful number, since it uses less digits than its factorization.

5713890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 5713890 is about 2390.3744476546. The cubic root of 5713890 is about 178.7765800694.

The spelling of 5713890 in words is "five million, seven hundred thirteen thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 23 26 30 35 39 42 46 49 65 69 70 78 91 98 105 115 130 138 147 161 169 182 195 210 230 245 273 294 299 322 338 345 390 455 483 490 507 546 598 637 690 735 805 845 897 910 966 1014 1127 1183 1274 1365 1470 1495 1610 1690 1794 1911 2093 2254 2366 2415 2535 2730 2990 3185 3381 3549 3822 3887 4186 4485 4830 5070 5635 5915 6279 6370 6762 7098 7774 8281 8970 9555 10465 11270 11661 11830 12558 14651 16562 16905 17745 19110 19435 20930 23322 24843 27209 29302 31395 33810 35490 38870 41405 43953 49686 54418 58305 62790 73255 81627 82810 87906 116610 124215 136045 146510 163254 190463 219765 248430 272090 380926 408135 439530 571389 816270 952315 1142778 1904630 2856945 5713890