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5408130 = 2357213283
BaseRepresentation
bin10100101000010110000010
3101011202120010
4110220112002
52341030010
6311525350
763653100
oct24502602
911152503
105408130
113064232
121989856
1311747a0
14a0ac70
1571c620
hex528582

5408130 has 96 divisors (see below), whose sum is σ = 16317504. Its totient is φ = 1137024.

The previous prime is 5408129. The next prime is 5408131. The reversal of 5408130 is 318045.

5408130 = T130 + T131 + ... + T325.

It is an interprime number because it is at equal distance from previous prime (5408129) and next prime (5408131).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5408097 and 5408106.

It is not an unprimeable number, because it can be changed into a prime (5408131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18969 + ... + 19251.

It is an arithmetic number, because the mean of its divisors is an integer number (169974).

Almost surely, 25408130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5408130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158752).

5408130 is an abundant number, since it is smaller than the sum of its proper divisors (10909374).

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

5408130 is a wasteful number, since it uses less digits than its factorization.

5408130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5408130 is about 2325.5386472815. The cubic root of 5408130 is about 175.5290655669.

The spelling of 5408130 in words is "five million, four hundred eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 182 195 210 245 273 283 294 390 455 490 546 566 637 735 849 910 1274 1365 1415 1470 1698 1911 1981 2730 2830 3185 3679 3822 3962 4245 5943 6370 7358 8490 9555 9905 11037 11886 13867 18395 19110 19810 22074 25753 27734 29715 36790 41601 51506 55185 59430 69335 77259 83202 110370 128765 138670 154518 180271 208005 257530 360542 386295 416010 540813 772590 901355 1081626 1802710 2704065 5408130