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5364768 = 253294147
BaseRepresentation
bin10100011101110000100000
3101002120002010
4110131300200
52333133033
6310552520
763412503
oct24356040
911076063
105364768
1130346a2
121968740
13115ab26
149d913a
1570e863
hex51dc20

5364768 has 96 divisors (see below), whose sum is σ = 15240960. Its totient is φ = 1648640.

The previous prime is 5364761. The next prime is 5364769. The reversal of 5364768 is 8674635.

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

It is not an unprimeable number, because it can be changed into a prime (5364761) 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, 114121 + ... + 114167.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 25364768 is an apocalyptic number.

5364768 is a gapful number since it is divisible by the number (58) 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 5364768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

5364768 is an abundant number, since it is smaller than the sum of its proper divisors (9876192).

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

5364768 is a wasteful number, since it uses less digits than its factorization.

5364768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 5364768 is about 2316.1968828232. The cubic root of 5364768 is about 175.0586796415.

The spelling of 5364768 in words is "five million, three hundred sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 41 47 48 58 82 87 94 96 116 123 141 164 174 188 232 246 282 328 348 376 464 492 564 656 696 752 928 984 1128 1189 1312 1363 1392 1504 1927 1968 2256 2378 2726 2784 3567 3854 3936 4089 4512 4756 5452 5781 7134 7708 8178 9512 10904 11562 14268 15416 16356 19024 21808 23124 28536 30832 32712 38048 43616 46248 55883 57072 61664 65424 92496 111766 114144 130848 167649 184992 223532 335298 447064 670596 894128 1341192 1788256 2682384 5364768