Search a number
-
+
115241000 = 23537101163
BaseRepresentation
bin1101101111001…
…11000000101000
322000211211221012
412313213000220
5214000203000
615234003052
72566350410
oct667470050
9260754835
10115241000
115a0612a6
1232716488
131ab4ba54
141143b640
15a1b5735
hex6de7028

115241000 has 128 divisors (see below), whose sum is σ = 313148160. Its totient is φ = 38880000.

The previous prime is 115240999. The next prime is 115241029. The reversal of 115241000 is 142511.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 706919 + ... + 707081.

It is an arithmetic number, because the mean of its divisors is an integer number (2446470).

Almost surely, 2115241000 is an apocalyptic number.

115241000 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 115241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156574080).

115241000 is an abundant number, since it is smaller than the sum of its proper divisors (197907160).

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

115241000 is a wasteful number, since it uses less digits than its factorization.

115241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 278 counting only the distinct ones).

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

The square root of 115241000 is about 10735.0360968187. The cubic root of 115241000 is about 486.6338774014.

Adding to 115241000 its reverse (142511), we get a palindrome (115383511).

The spelling of 115241000 in words is "one hundred fifteen million, two hundred forty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 101 125 140 163 175 200 202 250 280 326 350 404 500 505 652 700 707 808 815 875 1000 1010 1141 1304 1400 1414 1630 1750 2020 2282 2525 2828 3260 3500 3535 4040 4075 4564 5050 5656 5705 6520 7000 7070 8150 9128 10100 11410 12625 14140 16300 16463 17675 20200 20375 22820 25250 28280 28525 32600 32926 35350 40750 45640 50500 57050 65852 70700 81500 82315 88375 101000 114100 115241 131704 141400 142625 163000 164630 176750 228200 230482 285250 329260 353500 411575 460964 570500 576205 658520 707000 823150 921928 1141000 1152410 1646300 2057875 2304820 2881025 3292600 4115750 4609640 5762050 8231500 11524100 14405125 16463000 23048200 28810250 57620500 115241000