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201115040 = 2557792273
BaseRepresentation
bin10111111110011…
…00010110100000
3112000102200222012
423333030112200
5402441140130
631542332052
74661310140
oct1377142640
9460380865
10201115040
11a3584785
125742a028
13328879a9
141c9d2920
15129c9995
hexbfcc5a0

201115040 has 96 divisors (see below), whose sum is σ = 550126080. Its totient is φ = 68050944.

The previous prime is 201115037. The next prime is 201115051. The reversal of 201115040 is 40511102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87344 + ... + 89616.

It is an arithmetic number, because the mean of its divisors is an integer number (5730480).

Almost surely, 2201115040 is an apocalyptic number.

201115040 is a gapful number since it is divisible by the number (20) 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 201115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275063040).

201115040 is an abundant number, since it is smaller than the sum of its proper divisors (349011040).

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

201115040 is a wasteful number, since it uses less digits than its factorization.

201115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 201115040 is about 14181.5034463910. The cubic root of 201115040 is about 585.8883330810. Note that the first 3 decimals are identical.

Adding to 201115040 its reverse (40511102), we get a palindrome (241626142).

The spelling of 201115040 in words is "two hundred one million, one hundred fifteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 79 80 112 140 158 160 224 280 316 395 553 560 632 790 1106 1120 1264 1580 2212 2273 2528 2765 3160 4424 4546 5530 6320 8848 9092 11060 11365 12640 15911 17696 18184 22120 22730 31822 36368 44240 45460 63644 72736 79555 88480 90920 127288 159110 179567 181840 254576 318220 359134 363680 509152 636440 718268 897835 1256969 1272880 1436536 1795670 2513938 2545760 2873072 3591340 5027876 5746144 6284845 7182680 10055752 12569690 14365360 20111504 25139380 28730720 40223008 50278760 100557520 201115040