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5310960 = 243522129
BaseRepresentation
bin10100010000100111110000
3100222211021020
4110100213300
52324422320
6305455440
763066564
oct24204760
910884236
105310960
112aa8226
121941580
13113c4a5
149c36a4
156ed940
hex5109f0

5310960 has 40 divisors (see below), whose sum is σ = 16464720. Its totient is φ = 1416192.

The previous prime is 5310959. The next prime is 5310961. The reversal of 5310960 is 690135.

It is an interprime number because it is at equal distance from previous prime (5310959) and next prime (5310961).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×53109602 = 56412592243200, which contains 22 as substring.

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 5310960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5310961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10825 + ... + 11304.

It is an arithmetic number, because the mean of its divisors is an integer number (411618).

Almost surely, 25310960 is an apocalyptic number.

It is an amenable number.

5310960 is an abundant number, since it is smaller than the sum of its proper divisors (11153760).

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

5310960 is a wasteful number, since it uses less digits than its factorization.

5310960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22145 (or 22139 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 5310960 is about 2304.5520172042. The cubic root of 5310960 is about 174.4714391835.

The spelling of 5310960 in words is "five million, three hundred ten thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 22129 44258 66387 88516 110645 132774 177032 221290 265548 331935 354064 442580 531096 663870 885160 1062192 1327740 1770320 2655480 5310960