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5780940 = 22351119461
BaseRepresentation
bin10110000011010111001100
3101212200221220
4112003113030
52434442230
6323523340
7100065024
oct26032714
911780856
105780940
113299340
121b29550
131275399
14aa6a84
15792d10
hex5835cc

5780940 has 96 divisors (see below), whose sum is σ = 18627840. Its totient is φ = 1324800.

The previous prime is 5780939. The next prime is 5780987. The reversal of 5780940 is 490875.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 12310 + ... + 12770.

It is an arithmetic number, because the mean of its divisors is an integer number (194040).

Almost surely, 25780940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5780940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9313920).

5780940 is an abundant number, since it is smaller than the sum of its proper divisors (12846900).

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

5780940 is a wasteful number, since it uses less digits than its factorization.

5780940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 5780940 is about 2404.3585423144. The cubic root of 5780940 is about 179.4731508066.

The spelling of 5780940 in words is "five million, seven hundred eighty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 461 570 627 660 836 922 1045 1140 1254 1383 1844 2090 2305 2508 2766 3135 4180 4610 5071 5532 6270 6915 8759 9220 10142 12540 13830 15213 17518 20284 25355 26277 27660 30426 35036 43795 50710 52554 60852 76065 87590 96349 101420 105108 131385 152130 175180 192698 262770 289047 304260 385396 481745 525540 578094 963490 1156188 1445235 1926980 2890470 5780940