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11094480 = 2432519811
BaseRepresentation
bin101010010100…
…100111010000
3202212122202200
4222110213100
510320010410
61033443200
7163205265
oct52244720
922778680
1011094480
1162984a1
123870500
1323b5aa7
14168b26c
15e923c0
hexa949d0

11094480 has 120 divisors (see below), whose sum is σ = 39268320. Its totient is φ = 2799360.

The previous prime is 11094431. The next prime is 11094481. The reversal of 11094480 is 8449011.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11094481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13275 + ... + 14085.

It is an arithmetic number, because the mean of its divisors is an integer number (327236).

Almost surely, 211094480 is an apocalyptic number.

11094480 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 11094480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19634160).

11094480 is an abundant number, since it is smaller than the sum of its proper divisors (28173840).

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

11094480 is a wasteful number, since it uses less digits than its factorization.

11094480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11094480 is about 3330.8377324631. The cubic root of 11094480 is about 223.0329269618.

The spelling of 11094480 in words is "eleven million, ninety-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 811 855 912 1140 1368 1520 1622 1710 2280 2433 2736 3244 3420 4055 4560 4866 6488 6840 7299 8110 9732 12165 12976 13680 14598 15409 16220 19464 24330 29196 30818 32440 36495 38928 46227 48660 58392 61636 64880 72990 77045 92454 97320 116784 123272 138681 145980 154090 184908 194640 231135 246544 277362 291960 308180 369816 462270 554724 583920 616360 693405 739632 924540 1109448 1232720 1386810 1849080 2218896 2773620 3698160 5547240 11094480