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5379900 = 2235279227
BaseRepresentation
bin10100100001011100111100
3101010022211120
4110201130330
52334124100
6311150540
763504561
oct24413474
911108746
105379900
113044aa9
121975450
131164996
14a00868
157140a0
hex52173c

5379900 has 72 divisors (see below), whose sum is σ = 15832320. Its totient is φ = 1410240.

The previous prime is 5379893. The next prime is 5379901. The reversal of 5379900 is 99735.

5379900 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5379901) 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, 23587 + ... + 23813.

Almost surely, 25379900 is an apocalyptic number.

5379900 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 5379900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916160).

5379900 is an abundant number, since it is smaller than the sum of its proper divisors (10452420).

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

5379900 is a wasteful number, since it uses less digits than its factorization.

5379900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 33.

The square root of 5379900 is about 2319.4611443178. The cubic root of 5379900 is about 175.2231167762.

The spelling of 5379900 in words is "five million, three hundred seventy-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 227 237 300 316 395 454 474 681 790 908 948 1135 1185 1362 1580 1975 2270 2370 2724 3405 3950 4540 4740 5675 5925 6810 7900 11350 11850 13620 17025 17933 22700 23700 34050 35866 53799 68100 71732 89665 107598 179330 215196 268995 358660 448325 537990 896650 1075980 1344975 1793300 2689950 5379900