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1130500 = 225371719
BaseRepresentation
bin100010100000000000100
32010102202101
410110000010
5242134000
640121444
712415630
oct4240004
92112671
101130500
117023a8
12466284
13307747
14215dc0
15174e6a
hex114004

1130500 has 96 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 345600.

The previous prime is 1130497. The next prime is 1130501. The reversal of 1130500 is 50311.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1130501) 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, 59491 + ... + 59509.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

21130500 is an apocalyptic number.

1130500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1130500 is the 532-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

1130500 is an abundant number, since it is smaller than the sum of its proper divisors (2014460).

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

1130500 is a wasteful number, since it uses less digits than its factorization.

1130500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 1130500 is about 1063.2497354808. The cubic root of 1130500 is about 104.1734040087.

1130500 divided by its sum of digits (10) gives a triangular number (113050 = T475).

Adding to 1130500 its reverse (50311), we get a palindrome (1180811).

The spelling of 1130500 in words is "one million, one hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 17 19 20 25 28 34 35 38 50 68 70 76 85 95 100 119 125 133 140 170 175 190 238 250 266 323 340 350 380 425 475 476 500 532 595 646 665 700 850 875 950 1190 1292 1330 1615 1700 1750 1900 2125 2261 2375 2380 2660 2975 3230 3325 3500 4250 4522 4750 5950 6460 6650 8075 8500 9044 9500 11305 11900 13300 14875 16150 16625 22610 29750 32300 33250 40375 45220 56525 59500 66500 80750 113050 161500 226100 282625 565250 1130500