Search a number
-
+
5333280 = 253541271
BaseRepresentation
bin10100010110000100100000
3101000221212220
4110112010200
52331131110
6310151040
763221631
oct24260440
911027786
105333280
113012a77
121952480
1311496b4
149cb888
15705370
hex516120

5333280 has 96 divisors (see below), whose sum is σ = 17273088. Its totient is φ = 1382400.

The previous prime is 5333269. The next prime is 5333311. The reversal of 5333280 is 823335.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5333280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19545 + ... + 19815.

It is an arithmetic number, because the mean of its divisors is an integer number (179928).

Almost surely, 25333280 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 5333280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8636544).

5333280 is an abundant number, since it is smaller than the sum of its proper divisors (11939808).

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

5333280 is a wasteful number, since it uses less digits than its factorization.

5333280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 5333280 is about 2309.3895297243. The cubic root of 5333280 is about 174.7155105583.

It can be divided in two parts, 53 and 33280, that added together give a palindrome (33333).

The spelling of 5333280 in words is "five million, three hundred thirty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 271 328 410 480 492 542 615 656 813 820 984 1084 1230 1312 1355 1626 1640 1968 2168 2460 2710 3252 3280 3936 4065 4336 4920 5420 6504 6560 8130 8672 9840 10840 11111 13008 16260 19680 21680 22222 26016 32520 33333 43360 44444 55555 65040 66666 88888 111110 130080 133332 166665 177776 222220 266664 333330 355552 444440 533328 666660 888880 1066656 1333320 1777760 2666640 5333280