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6134016 = 28372163
BaseRepresentation
bin10111011001100100000000
3102112122021210
4113121210000
53032242031
6335250120
7103065300
oct27314400
912478253
106134016
11350a639
122079940
131369cc5
14b59600
15812746
hex5d9900

6134016 has 108 divisors (see below), whose sum is σ = 19107312. Its totient is φ = 1741824.

The previous prime is 6134003. The next prime is 6134021. The reversal of 6134016 is 6104316.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 6133983 and 6134001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37551 + ... + 37713.

Almost surely, 26134016 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 6134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9553656).

6134016 is an abundant number, since it is smaller than the sum of its proper divisors (12973296).

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

6134016 is a wasteful number, since it uses less digits than its factorization.

6134016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 6134016 is about 2476.6945713995. The cubic root of 6134016 is about 183.0550164543.

The spelling of 6134016 in words is "six million, one hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 163 168 192 196 224 256 294 326 336 384 392 448 489 588 652 672 768 784 896 978 1141 1176 1304 1344 1568 1792 1956 2282 2352 2608 2688 3136 3423 3912 4564 4704 5216 5376 6272 6846 7824 7987 9128 9408 10432 12544 13692 15648 15974 18256 18816 20864 23961 27384 31296 31948 36512 37632 41728 47922 54768 62592 63896 73024 95844 109536 125184 127792 146048 191688 219072 255584 292096 383376 438144 511168 766752 876288 1022336 1533504 2044672 3067008 6134016