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1131900 = 223527311
BaseRepresentation
bin100010100010101111100
32010111200020
410110111330
5242210100
640132140
712423000
oct4242574
92114606
101131900
11703460
12467050
13308283
14216700
151755a0
hex11457c

1131900 has 144 divisors (see below), whose sum is σ = 4166400. Its totient is φ = 235200.

The previous prime is 1131883. The next prime is 1131913. The reversal of 1131900 is 91311.

It is a super-2 number, since 2×11319002 = 2562395220000, which contains 22 as substring.

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

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 1131900.

It is a congruent number.

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, 102895 + ... + 102905.

21131900 is an apocalyptic number.

1131900 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 1131900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083200).

1131900 is an abundant number, since it is smaller than the sum of its proper divisors (3034500).

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

1131900 is a wasteful number, since it uses less digits than its factorization.

1131900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

The square root of 1131900 is about 1063.9078907499. The cubic root of 1131900 is about 104.2163887068.

The spelling of 1131900 in words is "one million, one hundred thirty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 49 50 55 60 66 70 75 77 84 98 100 105 110 132 140 147 150 154 165 175 196 210 220 231 245 275 294 300 308 330 343 350 385 420 462 490 525 539 550 588 660 686 700 735 770 825 924 980 1029 1050 1078 1100 1155 1225 1372 1470 1540 1617 1650 1715 1925 2058 2100 2156 2310 2450 2695 2940 3234 3300 3430 3675 3773 3850 4116 4620 4900 5145 5390 5775 6468 6860 7350 7546 7700 8085 8575 10290 10780 11319 11550 13475 14700 15092 16170 17150 18865 20580 22638 23100 25725 26950 32340 34300 37730 40425 45276 51450 53900 56595 75460 80850 94325 102900 113190 161700 188650 226380 282975 377300 565950 1131900