Search a number
-
+
2155104 = 253271069
BaseRepresentation
bin1000001110001001100000
311001111020200
420032021200
51022430404
6114105200
724214050
oct10161140
94044220
102155104
111242186
1287b200
135a5c13
14401560
152c8839
hex20e260

2155104 has 72 divisors (see below), whose sum is σ = 7010640. Its totient is φ = 615168.

The previous prime is 2155103. The next prime is 2155121. The reversal of 2155104 is 4015512.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1482 + ... + 2550.

It is an arithmetic number, because the mean of its divisors is an integer number (97370).

22155104 is an apocalyptic number.

2155104 is a gapful number since it is divisible by the number (24) 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 2155104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505320).

2155104 is an abundant number, since it is smaller than the sum of its proper divisors (4855536).

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

2155104 is a wasteful number, since it uses less digits than its factorization.

2155104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2155104 is about 1468.0272477035. The cubic root of 2155104 is about 129.1683398095.

The spelling of 2155104 in words is "two million, one hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1069 2016 2138 3207 4276 6414 7483 8552 9621 12828 14966 17104 19242 22449 25656 29932 34208 38484 44898 51312 59864 67347 76968 89796 102624 119728 134694 153936 179592 239456 269388 307872 359184 538776 718368 1077552 2155104