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2506064 = 241129491
BaseRepresentation
bin1001100011110101010000
311201022200012
421203311100
51120143224
6125414052
730205211
oct11436520
94638605
102506064
111461930
12a0a328
136998a2
14493408
1534780e
hex263d50

2506064 has 40 divisors (see below), whose sum is σ = 5490720. Its totient is φ = 1097600.

The previous prime is 2506033. The next prime is 2506069. The reversal of 2506064 is 4606052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4859 + ... + 5349.

It is an arithmetic number, because the mean of its divisors is an integer number (137268).

22506064 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 2506064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745360).

2506064 is an abundant number, since it is smaller than the sum of its proper divisors (2984656).

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

2506064 is a wasteful number, since it uses less digits than its factorization.

2506064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2506064 is about 1583.0552738297. The cubic root of 2506064 is about 135.8305270810.

The spelling of 2506064 in words is "two million, five hundred six thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 491 638 982 1276 1964 2552 3928 5104 5401 7856 10802 14239 21604 28478 43208 56956 86416 113912 156629 227824 313258 626516 1253032 2506064