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6001296 = 243753337
BaseRepresentation
bin10110111001001010010000
3102021220020020
4112321022100
53014020141
6332343440
7102003330
oct26711220
912256206
106001296
113429954
122014b80
131321782
14b230c0
157d8266
hex5b9290

6001296 has 80 divisors (see below), whose sum is σ = 18105984. Its totient is φ = 1677312.

The previous prime is 6001291. The next prime is 6001297. The reversal of 6001296 is 6921006.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6001291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17640 + ... + 17976.

Almost surely, 26001296 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 6001296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9052992).

6001296 is an abundant number, since it is smaller than the sum of its proper divisors (12104688).

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

6001296 is a wasteful number, since it uses less digits than its factorization.

6001296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 6001296 is about 2449.7542733915. The cubic root of 6001296 is about 181.7251416096.

The spelling of 6001296 in words is "six million, one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 337 371 424 636 674 742 848 1011 1113 1272 1348 1484 2022 2226 2359 2544 2696 2968 4044 4452 4718 5392 5936 7077 8088 8904 9436 14154 16176 17808 17861 18872 28308 35722 37744 53583 56616 71444 107166 113232 125027 142888 214332 250054 285776 375081 428664 500108 750162 857328 1000216 1500324 2000432 3000648 6001296