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5323968 = 26341379
BaseRepresentation
bin10100010011110011000000
3101000111010000
4110103303000
52330331333
6310040000
763152526
oct24236300
911014100
105323968
113006a81
121949000
1311453a0
149c8316
15702713
hex513cc0

5323968 has 140 divisors (see below), whose sum is σ = 17211040. Its totient is φ = 1617408.

The previous prime is 5323949. The next prime is 5324051. The reversal of 5323968 is 8693235.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67353 + ... + 67431.

It is an arithmetic number, because the mean of its divisors is an integer number (122936).

Almost surely, 25323968 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 5323968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8605520).

5323968 is an abundant number, since it is smaller than the sum of its proper divisors (11887072).

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

5323968 is a wasteful number, since it uses less digits than its factorization.

5323968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 5323968 is about 2307.3725316905. The cubic root of 5323968 is about 174.6137658753.

The spelling of 5323968 in words is "five million, three hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 79 81 96 104 108 117 144 156 158 162 192 208 216 234 237 288 312 316 324 351 416 432 468 474 576 624 632 648 702 711 832 864 936 948 1027 1053 1248 1264 1296 1404 1422 1728 1872 1896 2054 2106 2133 2496 2528 2592 2808 2844 3081 3744 3792 4108 4212 4266 5056 5184 5616 5688 6162 6399 7488 7584 8216 8424 8532 9243 11232 11376 12324 12798 15168 16432 16848 17064 18486 22464 22752 24648 25596 27729 32864 33696 34128 36972 45504 49296 51192 55458 65728 67392 68256 73944 83187 98592 102384 110916 136512 147888 166374 197184 204768 221832 295776 332748 409536 443664 591552 665496 887328 1330992 1774656 2661984 5323968