Search a number
-
+
115501540 = 225711179419
BaseRepresentation
bin1101110001001…
…10100111100100
322001100002022211
412320212213210
5214032022130
615243333204
72601514120
oct670464744
9261302284
10115501540
115a21a020
1232821204
131ac1050b
14114a8580
15a217a2a
hex6e269e4

115501540 has 96 divisors (see below), whose sum is σ = 304819200. Its totient is φ = 35713920.

The previous prime is 115501433. The next prime is 115501541. The reversal of 115501540 is 45105511.

It is a happy number.

It is a super-3 number, since 3×1155015403 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (115501541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275451 + ... + 275869.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2115501540 is an apocalyptic number.

115501540 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 115501540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

115501540 is an abundant number, since it is smaller than the sum of its proper divisors (189317660).

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

115501540 is a wasteful number, since it uses less digits than its factorization.

115501540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

The square root of 115501540 is about 10747.1642771477. The cubic root of 115501540 is about 487.0003330956. Note that the first 3 decimals are identical.

The spelling of 115501540 in words is "one hundred fifteen million, five hundred one thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 179 220 308 358 385 419 716 770 838 895 1253 1540 1676 1790 1969 2095 2506 2933 3580 3938 4190 4609 5012 5866 6265 7876 8380 9218 9845 11732 12530 13783 14665 18436 19690 23045 25060 27566 29330 32263 39380 46090 55132 58660 64526 68915 75001 92180 129052 137830 150002 161315 275660 300004 322630 375005 525007 645260 750010 825011 1050014 1500020 1650022 2100028 2625035 3300044 4125055 5250070 5775077 8250110 10500140 11550154 16500220 23100308 28875385 57750770 115501540