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2070400 = 2752647
BaseRepresentation
bin111111001011110000000
310220012001111
413321132000
51012223100
6112213104
723412103
oct7713600
93805044
102070400
111194582
1283a194
135764b7
143bc73a
152ad6ba
hex1f9780

2070400 has 48 divisors (see below), whose sum is σ = 5122440. Its totient is φ = 826880.

The previous prime is 2070371. The next prime is 2070421. The reversal of 2070400 is 40702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2877 + ... + 3523.

22070400 is an apocalyptic number.

2070400 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 2070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561220).

2070400 is an abundant number, since it is smaller than the sum of its proper divisors (3052040).

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

2070400 is an equidigital number, since it uses as much as digits as its factorization.

2070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 2070400 is about 1438.8884598884. Note that the first 3 decimals coincide. The cubic root of 2070400 is about 127.4533983221.

The spelling of 2070400 in words is "two million, seventy thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 647 800 1294 1600 2588 3200 3235 5176 6470 10352 12940 16175 20704 25880 32350 41408 51760 64700 82816 103520 129400 207040 258800 414080 517600 1035200 2070400