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5339136 = 21131179
BaseRepresentation
bin10100010111100000000000
3101001020220210
4110113200000
52331323021
6310234120
763244665
oct24274000
911036823
105339136
113017410
121955940
13114c26a
149cda6c
15706e76
hex517800

5339136 has 96 divisors (see below), whose sum is σ = 15724800. Its totient is φ = 1597440.

The previous prime is 5339123. The next prime is 5339149. The reversal of 5339136 is 6319335.

It is an interprime number because it is at equal distance from previous prime (5339123) and next prime (5339149).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 67545 + ... + 67623.

It is an arithmetic number, because the mean of its divisors is an integer number (163800).

Almost surely, 25339136 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 5339136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7862400).

5339136 is an abundant number, since it is smaller than the sum of its proper divisors (10385664).

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

5339136 is a wasteful number, since it uses less digits than its factorization.

5339136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its digits is 7290, while the sum is 30.

The square root of 5339136 is about 2310.6570494126. The cubic root of 5339136 is about 174.7794336843.

It can be divided in two parts, 533 and 9136, that added together give a palindrome (9669).

The spelling of 5339136 in words is "five million, three hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 79 88 96 128 132 158 176 192 237 256 264 316 352 384 474 512 528 632 704 768 869 948 1024 1056 1264 1408 1536 1738 1896 2048 2112 2528 2607 2816 3072 3476 3792 4224 5056 5214 5632 6144 6952 7584 8448 10112 10428 11264 13904 15168 16896 20224 20856 22528 27808 30336 33792 40448 41712 55616 60672 67584 80896 83424 111232 121344 161792 166848 222464 242688 333696 444928 485376 667392 889856 1334784 1779712 2669568 5339136