Search a number
-
+
2155032 = 233311907
BaseRepresentation
bin1000001110001000011000
311001111011000
420032020120
51022430112
6114105000
724213615
oct10161030
94044130
102155032
111242120
1287b160
135a5b89
1440150c
152c87dc
hex20e218

2155032 has 64 divisors (see below), whose sum is σ = 6537600. Its totient is φ = 652320.

The previous prime is 2155009. The next prime is 2155057. The reversal of 2155032 is 2305512.

Added to its reverse (2305512) it gives a square (4460544 = 21122).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2154996 and 2155014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1923 + ... + 2829.

It is an arithmetic number, because the mean of its divisors is an integer number (102150).

22155032 is an apocalyptic number.

2155032 is a gapful number since it is divisible by the number (22) 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 2155032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268800).

2155032 is an abundant number, since it is smaller than the sum of its proper divisors (4382568).

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

2155032 is a wasteful number, since it uses less digits than its factorization.

2155032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2155032 is about 1468.0027247931. The cubic root of 2155032 is about 129.1669013292.

Adding to 2155032 its reverse (2305512), we get a square (4460544 = 21122).

The spelling of 2155032 in words is "two million, one hundred fifty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 907 1188 1814 2376 2721 3628 5442 7256 8163 9977 10884 16326 19954 21768 24489 29931 32652 39908 48978 59862 65304 79816 89793 97956 119724 179586 195912 239448 269379 359172 538758 718344 1077516 2155032