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2073780 = 2232541281
BaseRepresentation
bin111111010010010110100
310220100200200
413322102310
51012330110
6112240500
723425002
oct7722264
93810620
102073780
111197075
12840130
13577bb7
143bda72
152ae6c0
hex1fa4b4

2073780 has 72 divisors (see below), whose sum is σ = 6466824. Its totient is φ = 537600.

The previous prime is 2073719. The next prime is 2073787. The reversal of 2073780 is 873702.

It can be written as a sum of positive squares in 4 ways, for example, as 34596 + 2039184 = 186^2 + 1428^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2073787) 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, 7240 + ... + 7520.

It is an arithmetic number, because the mean of its divisors is an integer number (89817).

22073780 is an apocalyptic number.

2073780 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 2073780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233412).

2073780 is an abundant number, since it is smaller than the sum of its proper divisors (4393044).

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

2073780 is a wasteful number, since it uses less digits than its factorization.

2073780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2073780 is about 1440.0624986437. The cubic root of 2073780 is about 127.5227179819.

The spelling of 2073780 in words is "two million, seventy-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 281 369 410 492 562 615 738 820 843 1124 1230 1405 1476 1686 1845 2460 2529 2810 3372 3690 4215 5058 5620 7380 8430 10116 11521 12645 16860 23042 25290 34563 46084 50580 57605 69126 103689 115210 138252 172815 207378 230420 345630 414756 518445 691260 1036890 2073780