Search a number
-
+
1132950 = 235271383
BaseRepresentation
bin100010100100110010110
32010120010010
410110212112
5242223300
640141050
712426030
oct4244626
92116103
101132950
11704225
12467786
133088b0
14216c50
15175a50
hex114996

1132950 has 96 divisors (see below), whose sum is σ = 3499776. Its totient is φ = 236160.

The previous prime is 1132949. The next prime is 1132969. The reversal of 1132950 is 592311.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 13609 + ... + 13691.

It is an arithmetic number, because the mean of its divisors is an integer number (36456).

21132950 is an apocalyptic number.

1132950 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 1132950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749888).

1132950 is an abundant number, since it is smaller than the sum of its proper divisors (2366826).

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

1132950 is a wasteful number, since it uses less digits than its factorization.

1132950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 1132950 is about 1064.4012401346. The cubic root of 1132950 is about 104.2486039758.

The spelling of 1132950 in words is "one million, one hundred thirty-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 50 65 70 75 78 83 91 105 130 150 166 175 182 195 210 249 273 325 350 390 415 455 498 525 546 581 650 830 910 975 1050 1079 1162 1245 1365 1743 1950 2075 2158 2275 2490 2730 2905 3237 3486 4150 4550 5395 5810 6225 6474 6825 7553 8715 10790 12450 13650 14525 15106 16185 17430 22659 26975 29050 32370 37765 43575 45318 53950 75530 80925 87150 113295 161850 188825 226590 377650 566475 1132950