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13793780 = 22571113253
BaseRepresentation
bin110100100111…
…100111110100
3221221210111202
4310213213310
512012400110
61211352032
7225150050
oct64474764
927853452
1013793780
117871520
124752618
132b1c600
141b90c60
1513270a5
hexd279f4

13793780 has 144 divisors (see below), whose sum is σ = 39844224. Its totient is φ = 3893760.

The previous prime is 13793777. The next prime is 13793789. The reversal of 13793780 is 8739731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13793789) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260234 + ... + 260286.

It is an arithmetic number, because the mean of its divisors is an integer number (276696).

Almost surely, 213793780 is an apocalyptic number.

13793780 is a gapful number since it is divisible by the number (10) 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 13793780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19922112).

13793780 is an abundant number, since it is smaller than the sum of its proper divisors (26050444).

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

13793780 is a wasteful number, since it uses less digits than its factorization.

13793780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 13793780 is about 3713.9978459875. The cubic root of 13793780 is about 239.8249881503.

The spelling of 13793780 in words is "thirteen million, seven hundred ninety-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 53 55 65 70 77 91 106 110 130 140 143 154 169 182 212 220 260 265 286 308 338 364 371 385 455 530 572 583 676 689 715 742 770 845 910 1001 1060 1166 1183 1378 1430 1484 1540 1690 1820 1855 1859 2002 2332 2366 2756 2860 2915 3380 3445 3710 3718 4004 4081 4732 4823 5005 5830 5915 6890 7420 7436 7579 8162 8957 9295 9646 10010 11660 11830 13013 13780 15158 16324 17914 18590 19292 20020 20405 23660 24115 26026 30316 35828 37180 37895 40810 44785 48230 52052 53053 62699 65065 75790 81620 89570 96460 98527 106106 125398 130130 151580 179140 197054 212212 250796 260260 265265 313495 394108 492635 530530 626990 689689 985270 1061060 1253980 1379378 1970540 2758756 3448445 6896890 13793780