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5104320 = 263513409
BaseRepresentation
bin10011011110001011000000
3100121022210220
4103132023000
52301314240
6301223040
761246254
oct23361300
910538726
105104320
112976a51
121861a80
131099410
1496c264
156ac5d0
hex4de2c0

5104320 has 112 divisors (see below), whose sum is σ = 17495520. Its totient is φ = 1253376.

The previous prime is 5104313. The next prime is 5104327. The reversal of 5104320 is 234015.

5104320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5104313) and next prime (5104327).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5104320.

It is not an unprimeable number, because it can be changed into a prime (5104327) 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, 12276 + ... + 12684.

It is an arithmetic number, because the mean of its divisors is an integer number (156210).

Almost surely, 25104320 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 5104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8747760).

5104320 is an abundant number, since it is smaller than the sum of its proper divisors (12391200).

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

5104320 is a wasteful number, since it uses less digits than its factorization.

5104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5104320 is about 2259.2742197440. The cubic root of 5104320 is about 172.1786497856.

Adding to 5104320 its reverse (234015), we get a palindrome (5338335).

The spelling of 5104320 in words is "five million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 409 416 480 520 624 780 818 832 960 1040 1227 1248 1560 1636 2045 2080 2454 2496 3120 3272 4090 4160 4908 5317 6135 6240 6544 8180 9816 10634 12270 12480 13088 15951 16360 19632 21268 24540 26176 26585 31902 32720 39264 42536 49080 53170 63804 65440 78528 79755 85072 98160 106340 127608 130880 159510 170144 196320 212680 255216 319020 340288 392640 425360 510432 638040 850720 1020864 1276080 1701440 2552160 5104320