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5667144 = 233726179
BaseRepresentation
bin10101100111100101001000
3101122220212020
4111213211020
52422322034
6321244440
766112200
oct25474510
911586766
105667144
11322089a
121a93720
131235652
14a77400
1576e249
hex567948

5667144 has 96 divisors (see below), whose sum is σ = 16963200. Its totient is φ = 1572480.

The previous prime is 5667133. The next prime is 5667173. The reversal of 5667144 is 4417665.

It is a super-2 number, since 2×56671442 = 64233042233472, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71697 + ... + 71775.

It is an arithmetic number, because the mean of its divisors is an integer number (176700).

Almost surely, 25667144 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 5667144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481600).

5667144 is an abundant number, since it is smaller than the sum of its proper divisors (11296056).

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

5667144 is a wasteful number, since it uses less digits than its factorization.

5667144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 152 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 5667144 is about 2380.5764007904. The cubic root of 5667144 is about 178.2877137995.

The spelling of 5667144 in words is "five million, six hundred sixty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 61 79 84 98 122 147 158 168 183 196 237 244 294 316 366 392 427 474 488 553 588 632 732 854 948 1106 1176 1281 1464 1659 1708 1896 2212 2562 2989 3318 3416 3871 4424 4819 5124 5978 6636 7742 8967 9638 10248 11613 11956 13272 14457 15484 17934 19276 23226 23912 28914 30968 33733 35868 38552 46452 57828 67466 71736 92904 101199 115656 134932 202398 236131 269864 404796 472262 708393 809592 944524 1416786 1889048 2833572 5667144