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2073680 = 24572232
BaseRepresentation
bin111111010010001010000
310220100112222
413322101100
51012324210
6112240212
723424500
oct7722120
93810488
102073680
111196a94
12840068
13577b3b
143bda00
152ae655
hex1fa450

2073680 has 90 divisors (see below), whose sum is σ = 5862906. Its totient is φ = 680064.

The previous prime is 2073667. The next prime is 2073707. The reversal of 2073680 is 863702.

It can be written as a sum of positive squares in only one way, i.e., 1658944 + 414736 = 1288^2 + 644^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 90149 + ... + 90171.

22073680 is an apocalyptic number.

2073680 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 2073680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931453).

2073680 is an abundant number, since it is smaller than the sum of its proper divisors (3789226).

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

2073680 is a wasteful number, since it uses less digits than its factorization.

2073680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 2073680 is about 1440.0277775099. The cubic root of 2073680 is about 127.5206681860.

The spelling of 2073680 in words is "two million, seventy-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 49 56 70 80 92 98 112 115 140 161 184 196 230 245 280 322 368 392 460 490 529 560 644 784 805 920 980 1058 1127 1288 1610 1840 1960 2116 2254 2576 2645 3220 3703 3920 4232 4508 5290 5635 6440 7406 8464 9016 10580 11270 12880 14812 18032 18515 21160 22540 25921 29624 37030 42320 45080 51842 59248 74060 90160 103684 129605 148120 207368 259210 296240 414736 518420 1036840 2073680