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11269980 = 223251729127
BaseRepresentation
bin101010111111…
…011101011100
3210012120111200
4222333131130
510341114410
61041315500
7164536041
oct52773534
923176450
1011269980
1163a8337
123935b90
132447937
1416d51c8
15ec93c0
hexabf75c

11269980 has 144 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 2709504.

The previous prime is 11269969. The next prime is 11269987. The reversal of 11269980 is 8996211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11269987) 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, 88677 + ... + 88803.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 211269980 is an apocalyptic number.

11269980 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 11269980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

11269980 is an abundant number, since it is smaller than the sum of its proper divisors (26469540).

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

11269980 is a wasteful number, since it uses less digits than its factorization.

11269980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 11269980 is about 3357.0790875402. The cubic root of 11269980 is about 224.2028084572.

The spelling of 11269980 in words is "eleven million, two hundred sixty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 29 30 34 36 45 51 58 60 68 85 87 90 102 116 127 145 153 170 174 180 204 254 255 261 290 306 340 348 381 435 493 508 510 522 580 612 635 762 765 870 986 1020 1044 1143 1270 1305 1479 1524 1530 1740 1905 1972 2159 2286 2465 2540 2610 2958 3060 3683 3810 4318 4437 4572 4930 5220 5715 5916 6477 7366 7395 7620 8636 8874 9860 10795 11049 11430 12954 14732 14790 17748 18415 19431 21590 22098 22185 22860 25908 29580 32385 33147 36830 38862 43180 44196 44370 55245 62611 64770 66294 73660 77724 88740 97155 110490 125222 129540 132588 165735 187833 194310 220980 250444 313055 331470 375666 388620 563499 626110 662940 751332 939165 1126998 1252220 1878330 2253996 2817495 3756660 5634990 11269980