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2150100 = 2232522389
BaseRepresentation
bin1000001100111011010100
311001020101100
420030323110
51022300400
6114030100
724163341
oct10147324
94036340
102150100
111239447
12878330
135a3864
143dd7c8
152c7100
hex20ced4

2150100 has 54 divisors (see below), whose sum is σ = 6742190. Its totient is φ = 573120.

The previous prime is 2150039. The next prime is 2150101. The reversal of 2150100 is 10512.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 24336 + 2125764 = 156^2 + 1458^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2150101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 295 + ... + 2094.

22150100 is an apocalyptic number.

2150100 is a gapful number since it is divisible by the number (20) 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 2150100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371095).

2150100 is an abundant number, since it is smaller than the sum of its proper divisors (4592090).

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

2150100 is a wasteful number, since it uses less digits than its factorization.

2150100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 2150100 is about 1466.3219291820. The cubic root of 2150100 is about 129.0682890641.

Adding to 2150100 its reverse (10512), we get a palindrome (2160612).

The spelling of 2150100 in words is "two million, one hundred fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2389 4778 7167 9556 11945 14334 21501 23890 28668 35835 43002 47780 59725 71670 86004 107505 119450 143340 179175 215010 238900 358350 430020 537525 716700 1075050 2150100