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2045080 = 235294143
BaseRepresentation
bin111110011010010011000
310211220022201
413303102120
51010420310
6111455544
723245222
oct7632230
93756281
102045080
111177554
128275b4
13567b0b
143b3412
152a5e3a
hex1f3498

2045080 has 64 divisors (see below), whose sum is σ = 4989600. Its totient is φ = 752640.

The previous prime is 2045077. The next prime is 2045089. The reversal of 2045080 is 805402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045089) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47539 + ... + 47581.

22045080 is an apocalyptic number.

2045080 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 2045080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494800).

2045080 is an abundant number, since it is smaller than the sum of its proper divisors (2944520).

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

2045080 is a wasteful number, since it uses less digits than its factorization.

2045080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2045080 is about 1430.0629356780. The cubic root of 2045080 is about 126.9317011399.

Multiplying 2045080 by its sum of digits (19), we get a triangular number (38856520 = T8815).

The spelling of 2045080 in words is "two million, forty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 20 29 40 41 43 58 82 86 116 145 164 172 205 215 232 290 328 344 410 430 580 820 860 1160 1189 1247 1640 1720 1763 2378 2494 3526 4756 4988 5945 6235 7052 8815 9512 9976 11890 12470 14104 17630 23780 24940 35260 47560 49880 51127 70520 102254 204508 255635 409016 511270 1022540 2045080