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113540000 = 25547811
BaseRepresentation
bin1101100010001…
…11101110100000
321220122102121012
412301013232200
5213031240000
615133320052
72546034260
oct661075640
9256572535
10113540000
11590aa312
1232036028
131a6a4742
14111177a0
159e7b735
hex6c47ba0

113540000 has 120 divisors (see below), whose sum is σ = 319622688. Its totient is φ = 38880000.

The previous prime is 113539999. The next prime is 113540003. The reversal of 113540000 is 45311.

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

It is not an unprimeable number, because it can be changed into a prime (113540003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139595 + ... + 140405.

Almost surely, 2113540000 is an apocalyptic number.

113540000 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 113540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159811344).

113540000 is an abundant number, since it is smaller than the sum of its proper divisors (206082688).

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

113540000 is an frugal number, since it uses more digits than its factorization.

113540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 113540000 is about 10655.5150039780. The cubic root of 113540000 is about 484.2277006146.

Adding to 113540000 its reverse (45311), we get a palindrome (113585311).

The spelling of 113540000 in words is "one hundred thirteen million, five hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 811 875 1000 1120 1250 1400 1622 1750 2000 2500 2800 3244 3500 4000 4055 4375 5000 5600 5677 6488 7000 8110 8750 10000 11354 12976 14000 16220 17500 20000 20275 22708 25952 28000 28385 32440 35000 40550 45416 56770 64880 70000 81100 90832 101375 113540 129760 140000 141925 162200 181664 202750 227080 283850 324400 405500 454160 506875 567700 648800 709625 811000 908320 1013750 1135400 1419250 1622000 2027500 2270800 2838500 3244000 3548125 4055000 4541600 5677000 7096250 8110000 11354000 14192500 16220000 22708000 28385000 56770000 113540000