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11139840 = 28325967
BaseRepresentation
bin101010011111…
…101100000000
3202221221222200
4222133230000
510322433330
61034433200
7163454445
oct52375400
922857880
1011139840
116319588
123892800
13240062a
14169d9cc
15ea0a60
hexa9fb00

11139840 has 108 divisors (see below), whose sum is σ = 38582544. Its totient is φ = 2967552.

The previous prime is 11139839. The next prime is 11139851. The reversal of 11139840 is 4893111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11037 + ... + 12003.

Almost surely, 211139840 is an apocalyptic number.

11139840 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 11139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19291272).

11139840 is an abundant number, since it is smaller than the sum of its proper divisors (27442704).

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

11139840 is an equidigital number, since it uses as much as digits as its factorization.

11139840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 11139840 is about 3337.6398847090. The cubic root of 11139840 is about 223.3364718254.

The spelling of 11139840 in words is "eleven million, one hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 967 1152 1280 1440 1920 1934 2304 2880 2901 3840 3868 4835 5760 5802 7736 8703 9670 11520 11604 14505 15472 17406 19340 23208 29010 30944 34812 38680 43515 46416 58020 61888 69624 77360 87030 92832 116040 123776 139248 154720 174060 185664 232080 247552 278496 309440 348120 371328 464160 556992 618880 696240 742656 928320 1113984 1237760 1392480 1856640 2227968 2784960 3713280 5569920 11139840