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4145064 = 2337112243
BaseRepresentation
bin1111110011111110101000
321210120221220
433303332220
52030120224
6224502040
750142510
oct17637650
97716856
104145064
112381280
12147a920
13b21901
1479c840
1556d279
hex3f3fa8

4145064 has 64 divisors (see below), whose sum is σ = 12925440. Its totient is φ = 1076160.

The previous prime is 4145047. The next prime is 4145069. The reversal of 4145064 is 4605414.

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

It is not an unprimeable number, because it can be changed into a prime (4145069) 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, 727 + ... + 2969.

It is an arithmetic number, because the mean of its divisors is an integer number (201960).

Almost surely, 24145064 is an apocalyptic number.

4145064 is a gapful number since it is divisible by the number (44) 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 4145064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462720).

4145064 is an abundant number, since it is smaller than the sum of its proper divisors (8780376).

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

4145064 is a wasteful number, since it uses less digits than its factorization.

4145064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4145064 is about 2035.9430247431. The cubic root of 4145064 is about 160.6363201659.

It can be divided in two parts, 41450 and 64, that added together give a palindrome (41514).

The spelling of 4145064 in words is "four million, one hundred forty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 2243 4486 6729 8972 13458 15701 17944 24673 26916 31402 47103 49346 53832 62804 74019 94206 98692 125608 148038 172711 188412 197384 296076 345422 376824 518133 592152 690844 1036266 1381688 2072532 4145064