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6066368 = 267111231
BaseRepresentation
bin10111001001000011000000
3102102012111022
4113021003000
53023110433
6334005012
7102364130
oct27110300
912365438
106066368
113473830
122046768
131345289
14b3cac0
157ec698
hex5c90c0

6066368 has 56 divisors (see below), whose sum is σ = 15020544. Its totient is φ = 2361600.

The previous prime is 6066341. The next prime is 6066383. The reversal of 6066368 is 8636606.

It is a Cunningham number, because it is equal to 24632-1.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×60663682 = 73601641422848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4313 + ... + 5543.

It is an arithmetic number, because the mean of its divisors is an integer number (268224).

Almost surely, 26066368 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 6066368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7510272).

6066368 is an abundant number, since it is smaller than the sum of its proper divisors (8954176).

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

6066368 is a wasteful number, since it uses less digits than its factorization.

6066368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 6066368 is about 2462.9997969955. Note that the first 3 decimals coincide. The cubic root of 6066368 is about 182.3795965687.

The spelling of 6066368 in words is "six million, sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1231 1232 2462 2464 4924 4928 8617 9848 13541 17234 19696 27082 34468 39392 54164 68936 78784 94787 108328 137872 189574 216656 275744 379148 433312 551488 758296 866624 1516592 3033184 6066368