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5333920 = 255173753
BaseRepresentation
bin10100010110001110100000
3101000222202121
4110112032200
52331141140
6310154024
763223534
oct24261640
911028677
105333920
1130134a9
121952914
131149a87
149cbbc4
1570564a
hex5163a0

5333920 has 96 divisors (see below), whose sum is σ = 13961808. Its totient is φ = 1916928.

The previous prime is 5333917. The next prime is 5333921. The reversal of 5333920 is 293335.

It can be written as a sum of positive squares in 8 ways, for example, as 4648336 + 685584 = 2156^2 + 828^2 .

It is not an unprimeable number, because it can be changed into a prime (5333921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100614 + ... + 100666.

Almost surely, 25333920 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 5333920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6980904).

5333920 is an abundant number, since it is smaller than the sum of its proper divisors (8627888).

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

5333920 is a wasteful number, since it uses less digits than its factorization.

5333920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 25.

The square root of 5333920 is about 2309.5280903249. The cubic root of 5333920 is about 174.7224989691.

The spelling of 5333920 in words is "five million, three hundred thirty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 37 40 53 68 74 80 85 106 136 148 160 170 185 212 265 272 296 340 370 424 530 544 592 629 680 740 848 901 1060 1184 1258 1360 1480 1696 1802 1961 2120 2516 2720 2960 3145 3604 3922 4240 4505 5032 5920 6290 7208 7844 8480 9010 9805 10064 12580 14416 15688 18020 19610 20128 25160 28832 31376 33337 36040 39220 50320 62752 66674 72080 78440 100640 133348 144160 156880 166685 266696 313760 333370 533392 666740 1066784 1333480 2666960 5333920