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13794690 = 23571331163
BaseRepresentation
bin110100100111…
…110110000010
3221221211202110
4310213312002
512012412230
61211400150
7225152520
oct64476602
927854673
1013794690
117872178
124753056
132b1cb50
141b91310
1513274b0
hexd27d82

13794690 has 128 divisors (see below), whose sum is σ = 42319872. Its totient is φ = 2799360.

The previous prime is 13794689. The next prime is 13794707. The reversal of 13794690 is 9649731.

13794690 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137946902 = 380586944392200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84549 + ... + 84711.

It is an arithmetic number, because the mean of its divisors is an integer number (330624).

Almost surely, 213794690 is an apocalyptic number.

13794690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13794690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21159936).

13794690 is an abundant number, since it is smaller than the sum of its proper divisors (28525182).

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

13794690 is a wasteful number, since it uses less digits than its factorization.

13794690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224.

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 13794690 is about 3714.1203534619. The cubic root of 13794690 is about 239.8302619269.

The spelling of 13794690 in words is "thirteen million, seven hundred ninety-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 31 35 39 42 62 65 70 78 91 93 105 130 155 163 182 186 195 210 217 273 310 326 390 403 434 455 465 489 546 651 806 815 910 930 978 1085 1141 1209 1302 1365 1630 2015 2119 2170 2282 2418 2445 2730 2821 3255 3423 4030 4238 4890 5053 5642 5705 6045 6357 6510 6846 8463 10106 10595 11410 12090 12714 14105 14833 15159 16926 17115 21190 25265 28210 29666 30318 31785 34230 35371 42315 44499 50530 63570 65689 70742 74165 75795 84630 88998 106113 131378 148330 151590 176855 197067 212226 222495 328445 353710 394134 444990 459823 530565 656890 919646 985335 1061130 1379469 1970670 2299115 2758938 4598230 6897345 13794690