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11914240 = 210513179
BaseRepresentation
bin101101011100…
…110000000000
3211102022021011
4231130300000
511022223430
61103210304
7203161252
oct55346000
924368234
1011914240
1167a8388
123ba6994
132611c60
141821cd2
1510a522a
hexb5cc00

11914240 has 88 divisors (see below), whose sum is σ = 30950640. Its totient is φ = 4374528.

The previous prime is 11914193. The next prime is 11914247. The reversal of 11914240 is 4241911.

It is a super-2 number, since 2×119142402 = 283898229555200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11914247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66471 + ... + 66649.

Almost surely, 211914240 is an apocalyptic number.

11914240 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 11914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15475320).

11914240 is an abundant number, since it is smaller than the sum of its proper divisors (19036400).

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

11914240 is a wasteful number, since it uses less digits than its factorization.

11914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 11914240 is about 3451.7010299271. The cubic root of 11914240 is about 228.3961513394.

The spelling of 11914240 in words is "eleven million, nine hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 179 208 256 260 320 358 416 512 520 640 716 832 895 1024 1040 1280 1432 1664 1790 2080 2327 2560 2864 3328 3580 4160 4654 5120 5728 6656 7160 8320 9308 11456 11635 13312 14320 16640 18616 22912 23270 28640 33280 37232 45824 46540 57280 66560 74464 91648 93080 114560 148928 183296 186160 229120 297856 372320 458240 595712 744640 916480 1191424 1489280 2382848 2978560 5957120 11914240