Search a number
-
+
5796900 = 22335219113
BaseRepresentation
bin10110000111010000100100
3101220111212000
4112013100210
52441000100
6324125300
7100162404
oct26072044
911814760
105796900
1132aa32a
121b36830
13127c725
14aac804
15797900
hex587424

5796900 has 144 divisors (see below), whose sum is σ = 19790400. Its totient is φ = 1451520.

The previous prime is 5796893. The next prime is 5796913. The reversal of 5796900 is 96975.

It is a super-2 number, since 2×57969002 = 67208099220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51244 + ... + 51356.

Almost surely, 25796900 is an apocalyptic number.

5796900 is a gapful number since it is divisible by the number (50) 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 5796900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9895200).

5796900 is an abundant number, since it is smaller than the sum of its proper divisors (13993500).

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

5796900 is a wasteful number, since it uses less digits than its factorization.

5796900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 5796900 is about 2407.6752272680. The cubic root of 5796900 is about 179.6381620055.

The spelling of 5796900 in words is "five million, seven hundred ninety-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 27 30 36 38 45 50 54 57 60 75 76 90 95 100 108 113 114 135 150 171 180 190 225 226 228 270 285 300 339 342 380 450 452 475 513 540 565 570 675 678 684 855 900 950 1017 1026 1130 1140 1350 1356 1425 1695 1710 1900 2034 2052 2147 2260 2565 2700 2825 2850 3051 3390 3420 4068 4275 4294 5085 5130 5650 5700 6102 6441 6780 8475 8550 8588 10170 10260 10735 11300 12204 12825 12882 15255 16950 17100 19323 20340 21470 25425 25650 25764 30510 32205 33900 38646 42940 50850 51300 53675 57969 61020 64410 76275 77292 96615 101700 107350 115938 128820 152550 161025 193230 214700 231876 289845 305100 322050 386460 483075 579690 644100 966150 1159380 1449225 1932300 2898450 5796900