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6106144 = 251121983
BaseRepresentation
bin10111010010110000100000
3102111020001111
4113102300200
53030344034
6334513104
7102621112
oct27226040
912436044
106106144
1134a0700
122065794
13135a405
14b4d3b2
15809364
hex5d2c20

6106144 has 72 divisors (see below), whose sum is σ = 14076720. Its totient is φ = 2597760.

The previous prime is 6106141. The next prime is 6106151. The reversal of 6106144 is 4416016.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (6106141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73527 + ... + 73609.

It is an arithmetic number, because the mean of its divisors is an integer number (195510).

Almost surely, 26106144 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 6106144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7038360).

6106144 is an abundant number, since it is smaller than the sum of its proper divisors (7970576).

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

6106144 is a wasteful number, since it uses less digits than its factorization.

6106144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 6106144 is about 2471.0613104494. The cubic root of 6106144 is about 182.7773377572. Note that the first 3 decimals are identical.

The spelling of 6106144 in words is "six million, one hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 83 88 121 152 166 176 209 242 304 332 352 418 484 608 664 836 913 968 1328 1577 1672 1826 1936 2299 2656 3154 3344 3652 3872 4598 6308 6688 7304 9196 10043 12616 14608 17347 18392 20086 25232 29216 34694 36784 40172 50464 69388 73568 80344 138776 160688 190817 277552 321376 381634 555104 763268 1526536 3053072 6106144