Search a number
-
+
2070300 = 2235267103
BaseRepresentation
bin111111001011100011100
310220011220210
413321130130
51012222200
6112212420
723411601
oct7713434
93804823
102070300
1111944a1
1283a110
1357643b
143bc6a8
152ad650
hex1f971c

2070300 has 72 divisors (see below), whose sum is σ = 6138496. Its totient is φ = 538560.

The previous prime is 2070287. The next prime is 2070301. The reversal of 2070300 is 30702.

It is a super-2 number, since 2×20703002 = 8572284180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2070301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20049 + ... + 20151.

22070300 is an apocalyptic number.

2070300 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 2070300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069248).

2070300 is an abundant number, since it is smaller than the sum of its proper divisors (4068196).

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

2070300 is a wasteful number, since it uses less digits than its factorization.

2070300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 2070300 is about 1438.8537104237. The cubic root of 2070300 is about 127.4513462959.

The spelling of 2070300 in words is "two million, seventy thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 103 134 150 201 206 268 300 309 335 402 412 515 618 670 804 1005 1030 1236 1340 1545 1675 2010 2060 2575 3090 3350 4020 5025 5150 6180 6700 6901 7725 10050 10300 13802 15450 20100 20703 27604 30900 34505 41406 69010 82812 103515 138020 172525 207030 345050 414060 517575 690100 1035150 2070300