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11389840 = 245711432
BaseRepresentation
bin101011011100…
…101110010000
3210102122220221
4223130232100
510403433330
61044042424
7165545350
oct53345620
923378827
1011389840
11647a3a0
123993414
13248a367
141726b60
15eeeb7a
hexadcb90

11389840 has 120 divisors (see below), whose sum is σ = 33801408. Its totient is φ = 3467520.

The previous prime is 11389831. The next prime is 11389849. The reversal of 11389840 is 4898311.

It is a happy number.

11389840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11389831) and next prime (11389849).

It is a junction number, because it is equal to n+sod(n) for n = 11389796 and 11389805.

It is not an unprimeable number, because it can be changed into a prime (11389849) 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, 264859 + ... + 264901.

Almost surely, 211389840 is an apocalyptic number.

11389840 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 11389840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16900704).

11389840 is an abundant number, since it is smaller than the sum of its proper divisors (22411568).

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

11389840 is a wasteful number, since it uses less digits than its factorization.

11389840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 11389840 is about 3374.8837017000. The cubic root of 11389840 is about 224.9948311570.

The spelling of 11389840 in words is "eleven million, three hundred eighty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 43 44 55 56 70 77 80 86 88 110 112 140 154 172 176 215 220 280 301 308 344 385 430 440 473 560 602 616 688 770 860 880 946 1204 1232 1505 1540 1720 1849 1892 2365 2408 3010 3080 3311 3440 3698 3784 4730 4816 6020 6160 6622 7396 7568 9245 9460 12040 12943 13244 14792 16555 18490 18920 20339 24080 25886 26488 29584 33110 36980 37840 40678 51772 52976 64715 66220 73960 81356 101695 103544 129430 132440 142373 147920 162712 203390 207088 258860 264880 284746 325424 406780 517720 569492 711865 813560 1035440 1138984 1423730 1627120 2277968 2847460 5694920 11389840