Search a number
-
+
11914140 = 22357191493
BaseRepresentation
bin101101011100…
…101110011100
3211102022010110
4231130232130
511022223030
61103210020
7203161050
oct55345634
924368113
1011914140
1167a82a7
123ba6910
132611bb4
141821c60
1510a51b0
hexb5cb9c

11914140 has 96 divisors (see below), whose sum is σ = 40158720. Its totient is φ = 2578176.

The previous prime is 11914109. The next prime is 11914169. The reversal of 11914140 is 4141911.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7234 + ... + 8726.

It is an arithmetic number, because the mean of its divisors is an integer number (418320).

Almost surely, 211914140 is an apocalyptic number.

11914140 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 11914140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20079360).

11914140 is an abundant number, since it is smaller than the sum of its proper divisors (28244580).

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

11914140 is a wasteful number, since it uses less digits than its factorization.

11914140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 11914140 is about 3451.6865442853. The cubic root of 11914140 is about 228.3955123372.

The spelling of 11914140 in words is "eleven million, nine hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1493 1596 1995 2660 2986 3990 4479 5972 7465 7980 8958 10451 14930 17916 20902 22395 28367 29860 31353 41804 44790 52255 56734 62706 85101 89580 104510 113468 125412 141835 156765 170202 198569 209020 283670 313530 340404 397138 425505 567340 595707 627060 794276 851010 992845 1191414 1702020 1985690 2382828 2978535 3971380 5957070 11914140