Search a number
-
+
1145130 = 235721941
BaseRepresentation
bin100010111100100101010
32011011211020
410113210222
5243121010
640313310
712506400
oct4274452
92134736
101145130
11712398
12472836
133112bc
1421b470
15179470
hex11792a

1145130 has 96 divisors (see below), whose sum is σ = 3447360. Its totient is φ = 241920.

The previous prime is 1145129. The next prime is 1145141. The reversal of 1145130 is 315411.

It is a super-2 number, since 2×11451302 = 2622645433800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27910 + ... + 27950.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

21145130 is an apocalyptic number.

1145130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680).

1145130 is an abundant number, since it is smaller than the sum of its proper divisors (2302230).

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

1145130 is a wasteful number, since it uses less digits than its factorization.

1145130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1145130 is about 1070.1074712383. The cubic root of 1145130 is about 104.6208548122.

It can be divided in two parts, 1145 and 130, that added together give a triangular number (1275 = T50).

The spelling of 1145130 in words is "one million, one hundred forty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 41 42 49 57 70 82 95 98 105 114 123 133 147 190 205 210 245 246 266 285 287 294 399 410 490 570 574 615 665 735 779 798 861 931 1230 1330 1435 1470 1558 1722 1862 1995 2009 2337 2793 2870 3895 3990 4018 4305 4655 4674 5453 5586 6027 7790 8610 9310 10045 10906 11685 12054 13965 16359 20090 23370 27265 27930 30135 32718 38171 54530 60270 76342 81795 114513 163590 190855 229026 381710 572565 1145130