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5055360 = 27352633
BaseRepresentation
bin10011010010001110000000
3100111211122120
4103102032000
52243232420
6300204240
760653442
oct23221600
910454576
105055360
112943192
121839680
13108004b
14958492
1569cd40
hex4d2380

5055360 has 64 divisors (see below), whose sum is σ = 16120080. Its totient is φ = 1347584.

The previous prime is 5055359. The next prime is 5055361. The reversal of 5055360 is 635505.

It is an interprime number because it is at equal distance from previous prime (5055359) and next prime (5055361).

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 5055360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5055361) 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, 604 + ... + 3236.

Almost surely, 25055360 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 5055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060040).

5055360 is an abundant number, since it is smaller than the sum of its proper divisors (11064720).

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

5055360 is a wasteful number, since it uses less digits than its factorization.

5055360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 5055360 is about 2248.4127734916. The cubic root of 5055360 is about 171.6263748507.

The spelling of 5055360 in words is "five million, fifty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2633 5266 7899 10532 13165 15798 21064 26330 31596 39495 42128 52660 63192 78990 84256 105320 126384 157980 168512 210640 252768 315960 337024 421280 505536 631920 842560 1011072 1263840 1685120 2527680 5055360