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2070900 = 2233521359
BaseRepresentation
bin111111001100101110100
310220012202000
413321211310
51012232100
6112215300
723413416
oct7714564
93805660
102070900
111194997
1283a530
135767b0
143bc9b6
152ad900
hex1f9974

2070900 has 144 divisors (see below), whose sum is σ = 7291200. Its totient is φ = 501120.

The previous prime is 2070883. The next prime is 2070907. The reversal of 2070900 is 90702.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2070907) 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 47 ways as a sum of consecutive naturals, for example, 35071 + ... + 35129.

22070900 is an apocalyptic number.

2070900 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 2070900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645600).

2070900 is an abundant number, since it is smaller than the sum of its proper divisors (5220300).

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

2070900 is a wasteful number, since it uses less digits than its factorization.

2070900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 2070900 is about 1439.0621946254. The cubic root of 2070900 is about 127.4636574620.

The spelling of 2070900 in words is "two million, seventy thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 39 45 50 52 54 59 60 65 75 78 90 100 108 117 118 130 135 150 156 177 180 195 225 234 236 260 270 295 300 325 351 354 390 450 468 531 540 585 590 650 675 702 708 767 780 885 900 975 1062 1170 1180 1300 1350 1404 1475 1534 1593 1755 1770 1950 2124 2301 2340 2655 2700 2925 2950 3068 3186 3510 3540 3835 3900 4425 4602 5310 5850 5900 6372 6903 7020 7670 7965 8775 8850 9204 10620 11505 11700 13275 13806 15340 15930 17550 17700 19175 20709 23010 26550 27612 31860 34515 35100 38350 39825 41418 46020 53100 57525 69030 76700 79650 82836 103545 115050 138060 159300 172575 207090 230100 345150 414180 517725 690300 1035450 2070900