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5148960 = 253517631
BaseRepresentation
bin10011101001000100100000
3100200121001020
4103221010200
52304231320
6302205440
761523355
oct23510440
910617036
105148960
1129a7543
121883880
1310b382b
1498062c
156ba940
hex4e9120

5148960 has 96 divisors (see below), whose sum is σ = 17200512. Its totient is φ = 1290240.

The previous prime is 5148959. The next prime is 5148967. The reversal of 5148960 is 698415.

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 (5148967) 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, 7845 + ... + 8475.

It is an arithmetic number, because the mean of its divisors is an integer number (179172).

Almost surely, 25148960 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 5148960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8600256).

5148960 is an abundant number, since it is smaller than the sum of its proper divisors (12051552).

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

5148960 is a wasteful number, since it uses less digits than its factorization.

5148960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 5148960 is about 2269.1319926351. The cubic root of 5148960 is about 172.6791250003.

The spelling of 5148960 in words is "five million, one hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 631 680 816 1020 1262 1360 1632 1893 2040 2524 2720 3155 3786 4080 5048 6310 7572 8160 9465 10096 10727 12620 15144 18930 20192 21454 25240 30288 32181 37860 42908 50480 53635 60576 64362 75720 85816 100960 107270 128724 151440 160905 171632 214540 257448 302880 321810 343264 429080 514896 643620 858160 1029792 1287240 1716320 2574480 5148960