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6023424 = 283112331
BaseRepresentation
bin10110111110100100000000
3102100000120210
4112332210000
53020222144
6333034120
7102125001
oct26764400
912300523
106023424
113444540
122025940
13132b874
14b2b1a8
157deab9
hex5be900

6023424 has 144 divisors (see below), whose sum is σ = 18837504. Its totient is φ = 1689600.

The previous prime is 6023383. The next prime is 6023461. The reversal of 6023424 is 4243206.

It is a self number, because there is not a number n which added to its sum of digits gives 6023424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194289 + ... + 194319.

It is an arithmetic number, because the mean of its divisors is an integer number (130816).

Almost surely, 26023424 is an apocalyptic number.

6023424 is a gapful number since it is divisible by the number (64) 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 6023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9418752).

6023424 is an abundant number, since it is smaller than the sum of its proper divisors (12814080).

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

6023424 is a wasteful number, since it uses less digits than its factorization.

6023424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 6023424 is about 2454.2664891979. The cubic root of 6023424 is about 181.9482201851.

The spelling of 6023424 in words is "six million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 31 32 33 44 46 48 62 64 66 69 88 92 93 96 124 128 132 138 176 184 186 192 248 253 256 264 276 341 352 368 372 384 496 506 528 552 682 704 713 736 744 759 768 992 1012 1023 1056 1104 1364 1408 1426 1472 1488 1518 1984 2024 2046 2112 2139 2208 2728 2816 2852 2944 2976 3036 3968 4048 4092 4224 4278 4416 5456 5704 5888 5952 6072 7843 7936 8096 8184 8448 8556 8832 10912 11408 11904 12144 15686 16192 16368 17112 17664 21824 22816 23529 23808 24288 31372 32384 32736 34224 43648 45632 47058 48576 62744 64768 65472 68448 87296 91264 94116 97152 125488 130944 136896 182528 188232 194304 250976 261888 273792 376464 501952 547584 752928 1003904 1505856 2007808 3011712 6023424