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11471940 = 223251723163
BaseRepresentation
bin101011110000…
…110001000100
3210120211112200
4223300301010
510414100230
61045514500
7166336614
oct53606104
923524480
1011471940
116526047
123a12a30
1324b883c
141748a44
151019160
hexaf0c44

11471940 has 144 divisors (see below), whose sum is σ = 38683008. Its totient is φ = 2737152.

The previous prime is 11471939. The next prime is 11471947. The reversal of 11471940 is 4917411.

It is not an unprimeable number, because it can be changed into a prime (11471947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70299 + ... + 70461.

It is an arithmetic number, because the mean of its divisors is an integer number (268632).

Almost surely, 211471940 is an apocalyptic number.

11471940 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 11471940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19341504).

11471940 is an abundant number, since it is smaller than the sum of its proper divisors (27211068).

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

11471940 is a wasteful number, since it uses less digits than its factorization.

11471940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 11471940 is about 3387.0252434843. The cubic root of 11471940 is about 225.5341383870.

The spelling of 11471940 in words is "eleven million, four hundred seventy-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 23 30 34 36 45 46 51 60 68 69 85 90 92 102 115 138 153 163 170 180 204 207 230 255 276 306 326 340 345 391 414 460 489 510 612 652 690 765 782 815 828 978 1020 1035 1173 1380 1467 1530 1564 1630 1955 1956 2070 2346 2445 2771 2934 3060 3260 3519 3749 3910 4140 4692 4890 5542 5865 5868 7038 7335 7498 7820 8313 9780 11084 11247 11730 13855 14076 14670 14996 16626 17595 18745 22494 23460 24939 27710 29340 33252 33741 35190 37490 41565 44988 49878 55420 56235 63733 67482 70380 74980 83130 99756 112470 124695 127466 134964 166260 168705 191199 224940 249390 254932 318665 337410 382398 498780 573597 637330 674820 764796 955995 1147194 1274660 1911990 2294388 2867985 3823980 5735970 11471940