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5812920 = 2332567241
BaseRepresentation
bin10110001011001010111000
3101221022211100
4112023022320
52442003140
6324331400
7100260201
oct26131270
911838740
105812920
113310373
121b43b60
131286ac9
14ab45a8
1579c530
hex58b2b8

5812920 has 96 divisors (see below), whose sum is σ = 19253520. Its totient is φ = 1520640.

The previous prime is 5812907. The next prime is 5812927. The reversal of 5812920 is 292185.

5812920 = T225 + T226 + ... + T358.

It is a Cunningham number, because it is equal to 24112-1.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5812927) 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 23 ways as a sum of consecutive naturals, for example, 24000 + ... + 24240.

Almost surely, 25812920 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 5812920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9626760).

5812920 is an abundant number, since it is smaller than the sum of its proper divisors (13440600).

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

5812920 is a wasteful number, since it uses less digits than its factorization.

5812920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5812920 is about 2410.9997926172. Note that the first 3 decimals coincide. The cubic root of 5812920 is about 179.8034892458.

The spelling of 5812920 in words is "five million, eight hundred twelve thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 241 268 335 360 402 482 536 603 670 723 804 964 1005 1205 1206 1340 1446 1608 1928 2010 2169 2410 2412 2680 2892 3015 3615 4020 4338 4820 4824 5784 6030 7230 8040 8676 9640 10845 12060 14460 16147 17352 21690 24120 28920 32294 43380 48441 64588 80735 86760 96882 129176 145323 161470 193764 242205 290646 322940 387528 484410 581292 645880 726615 968820 1162584 1453230 1937640 2906460 5812920