Search a number
-
+
1455900 = 2235223211
BaseRepresentation
bin101100011011100011100
32201222010020
411203130130
5333042100
651112140
715242415
oct5433434
92658106
101455900
11904926
125a2650
133bc8a4
1429c80c
151db5a0
hex16371c

1455900 has 72 divisors (see below), whose sum is σ = 4416384. Its totient is φ = 369600.

The previous prime is 1455893. The next prime is 1455901. The reversal of 1455900 is 95541.

Added to its reverse (95541) it gives a triangular number (1551441 = T1761).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1455901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6795 + ... + 7005.

21455900 is an apocalyptic number.

1455900 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 1455900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208192).

1455900 is an abundant number, since it is smaller than the sum of its proper divisors (2960484).

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

1455900 is a wasteful number, since it uses less digits than its factorization.

1455900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1455900 is about 1206.6068125118. The cubic root of 1455900 is about 113.3384272989.

Adding to 1455900 its reverse (95541), we get a triangular number (1551441 = T1761).

The spelling of 1455900 in words is "one million, four hundred fifty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 211 230 276 300 345 422 460 575 633 690 844 1055 1150 1266 1380 1725 2110 2300 2532 3165 3450 4220 4853 5275 6330 6900 9706 10550 12660 14559 15825 19412 21100 24265 29118 31650 48530 58236 63300 72795 97060 121325 145590 242650 291180 363975 485300 727950 1455900