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5309136 = 2432723229
BaseRepresentation
bin10100010000001011010000
3100222201202200
4110100023100
52324343021
6305443200
763061350
oct24201320
910881680
105309136
112aa6918
121940500
13113b701
149c2b60
156ed126
hex5102d0

5309136 has 120 divisors (see below), whose sum is σ = 17796480. Its totient is φ = 1444608.

The previous prime is 5309123. The next prime is 5309137. The reversal of 5309136 is 6319035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5309137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23070 + ... + 23298.

It is an arithmetic number, because the mean of its divisors is an integer number (148304).

Almost surely, 25309136 is an apocalyptic number.

5309136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5309136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8898240).

5309136 is an abundant number, since it is smaller than the sum of its proper divisors (12487344).

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

5309136 is a wasteful number, since it uses less digits than its factorization.

5309136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 5309136 is about 2304.1562447022. The cubic root of 5309136 is about 174.4514633635.

It can be divided in two parts, 5309 and 136, that added together give a palindrome (5445).

The spelling of 5309136 in words is "five million, three hundred nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 229 252 276 322 336 368 414 458 483 504 552 644 687 828 916 966 1008 1104 1288 1374 1449 1603 1656 1832 1932 2061 2576 2748 2898 3206 3312 3664 3864 4122 4809 5267 5496 5796 6412 7728 8244 9618 10534 10992 11592 12824 14427 15801 16488 19236 21068 23184 25648 28854 31602 32976 36869 38472 42136 47403 57708 63204 73738 76944 84272 94806 110607 115416 126408 147476 189612 221214 230832 252816 294952 331821 379224 442428 589904 663642 758448 884856 1327284 1769712 2654568 5309136