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2120300 = 2252713233
BaseRepresentation
bin1000000101101001101100
310222201111122
420011221230
51020322200
6113240112
724010430
oct10055154
93881448
102120300
111219016
12863038
13593120
143d29c0
152bd385
hex205a6c

2120300 has 72 divisors (see below), whose sum is σ = 5687136. Its totient is φ = 668160.

The previous prime is 2120297. The next prime is 2120303. The reversal of 2120300 is 30212.

It is an interprime number because it is at equal distance from previous prime (2120297) and next prime (2120303).

It is not an unprimeable number, because it can be changed into a prime (2120303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8984 + ... + 9216.

It is an arithmetic number, because the mean of its divisors is an integer number (78988).

22120300 is an apocalyptic number.

2120300 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 2120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843568).

2120300 is an abundant number, since it is smaller than the sum of its proper divisors (3566836).

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

2120300 is a wasteful number, since it uses less digits than its factorization.

2120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2120300 is about 1456.1249946347. The cubic root of 2120300 is about 128.4692250687.

Adding to 2120300 its reverse (30212), we get a palindrome (2150512).

The spelling of 2120300 in words is "two million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 233 260 325 350 364 455 466 650 700 910 932 1165 1300 1631 1820 2275 2330 3029 3262 4550 4660 5825 6058 6524 8155 9100 11650 12116 15145 16310 21203 23300 30290 32620 40775 42406 60580 75725 81550 84812 106015 151450 163100 212030 302900 424060 530075 1060150 2120300