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5920512 = 28313593
BaseRepresentation
bin10110100101011100000000
3102010210102020
4112211130000
53003424022
6330521440
7101215653
oct26453400
912123366
105920512
113384194
121b96280
1312c3a80
14b0189a
157be35c
hex5a5700

5920512 has 72 divisors (see below), whose sum is σ = 16997904. Its totient is φ = 1818624.

The previous prime is 5920511. The next prime is 5920513. The reversal of 5920512 is 2150295.

It is an interprime number because it is at equal distance from previous prime (5920511) and next prime (5920513).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5920511) 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, 9688 + ... + 10280.

It is an arithmetic number, because the mean of its divisors is an integer number (236082).

Almost surely, 25920512 is an apocalyptic number.

5920512 is a gapful number since it is divisible by the number (52) 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 5920512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8498952).

5920512 is an abundant number, since it is smaller than the sum of its proper divisors (11077392).

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

5920512 is a wasteful number, since it uses less digits than its factorization.

5920512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 5920512 is about 2433.2102251963. The cubic root of 5920512 is about 180.9060489390.

The spelling of 5920512 in words is "five million, nine hundred twenty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 593 624 768 832 1186 1248 1664 1779 2372 2496 3328 3558 4744 4992 7116 7709 9488 9984 14232 15418 18976 23127 28464 30836 37952 46254 56928 61672 75904 92508 113856 123344 151808 185016 227712 246688 370032 455424 493376 740064 986752 1480128 1973504 2960256 5920512