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5769144 = 233429307
BaseRepresentation
bin10110000000011110111000
3101212002210000
4112000132320
52434103034
6323353000
7100015443
oct26003670
911762700
105769144
113290497
121b22760
13126cbc4
14aa265a
1578e599
hex5807b8

5769144 has 80 divisors (see below), whose sum is σ = 16770600. Its totient is φ = 1850688.

The previous prime is 5769143. The next prime is 5769149. The reversal of 5769144 is 4419675.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 5 + 78 + 63 + 9 + 1 + 42 + 46 .

It is a junction number, because it is equal to n+sod(n) for n = 5769099 and 5769108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5769143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18639 + ... + 18945.

Almost surely, 25769144 is an apocalyptic number.

5769144 is a gapful number since it is divisible by the number (54) 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 5769144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8385300).

5769144 is an abundant number, since it is smaller than the sum of its proper divisors (11001456).

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

5769144 is a wasteful number, since it uses less digits than its factorization.

5769144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 5769144 is about 2401.9042445526. The cubic root of 5769144 is about 179.3509961121.

The spelling of 5769144 in words is "five million, seven hundred sixty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 307 324 348 522 614 648 696 783 921 1044 1228 1566 1842 2088 2349 2456 2763 3132 3684 4698 5526 6264 7368 8289 8903 9396 11052 16578 17806 18792 22104 24867 26709 33156 35612 49734 53418 66312 71224 80127 99468 106836 160254 198936 213672 240381 320508 480762 641016 721143 961524 1442286 1923048 2884572 5769144