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2045440 = 2951747
BaseRepresentation
bin111110011011000000000
310211220211001
413303120000
51010423230
6111501344
723246245
oct7633000
93756731
102045440
111177851
12827854
13568027
143b35cc
152a60ca
hex1f3600

2045440 has 80 divisors (see below), whose sum is σ = 5303232. Its totient is φ = 753664.

The previous prime is 2045437. The next prime is 2045441. The reversal of 2045440 is 445402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43497 + ... + 43543.

22045440 is an apocalyptic number.

2045440 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 2045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651616).

2045440 is an abundant number, since it is smaller than the sum of its proper divisors (3257792).

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

2045440 is an equidigital number, since it uses as much as digits as its factorization.

2045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 2045440 is about 1430.1887987255. The cubic root of 2045440 is about 126.9391487265.

It can be divided in two parts, 2045 and 440, that added together give a triangular number (2485 = T70).

The spelling of 2045440 in words is "two million, forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 47 64 68 80 85 94 128 136 160 170 188 235 256 272 320 340 376 470 512 544 640 680 752 799 940 1088 1280 1360 1504 1598 1880 2176 2560 2720 3008 3196 3760 3995 4352 5440 6016 6392 7520 7990 8704 10880 12032 12784 15040 15980 21760 24064 25568 30080 31960 43520 51136 60160 63920 102272 120320 127840 204544 255680 409088 511360 1022720 2045440