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13769340 = 223513127139
BaseRepresentation
bin110100100001…
…101001111100
3221220112222120
4310201221330
512011104330
61211042540
7225015564
oct64415174
927815876
1013769340
117855122
124740450
132b11450
141b85da4
15131ec10
hexd21a7c

13769340 has 96 divisors (see below), whose sum is σ = 42147840. Its totient is φ = 3338496.

The previous prime is 13769339. The next prime is 13769351. The reversal of 13769340 is 4396731.

13769340 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98991 + ... + 99129.

It is an arithmetic number, because the mean of its divisors is an integer number (439040).

Almost surely, 213769340 is an apocalyptic number.

13769340 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 13769340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21073920).

13769340 is an abundant number, since it is smaller than the sum of its proper divisors (28378500).

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

13769340 is a wasteful number, since it uses less digits than its factorization.

13769340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 13769340 is about 3710.7061322611. The cubic root of 13769340 is about 239.6832627290.

The spelling of 13769340 in words is "thirteen million, seven hundred sixty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 127 130 139 156 195 254 260 278 381 390 417 508 556 635 695 762 780 834 1270 1390 1524 1651 1668 1807 1905 2085 2540 2780 3302 3614 3810 4170 4953 5421 6604 7228 7620 8255 8340 9035 9906 10842 16510 17653 18070 19812 21684 24765 27105 33020 35306 36140 49530 52959 54210 70612 88265 99060 105918 108420 176530 211836 229489 264795 353060 458978 529590 688467 917956 1059180 1147445 1376934 2294890 2753868 3442335 4589780 6884670 13769340