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1007064 = 233271197
BaseRepresentation
bin11110101110111011000
31220011102200
43311313120
5224211224
633330200
711363022
oct3656730
91804380
101007064
11628693
12406960
132934c6
141c3012
1514d5c9
hexf5dd8

1007064 has 48 divisors (see below), whose sum is σ = 2779920. Its totient is φ = 329280.

The previous prime is 1007059. The next prime is 1007081. The reversal of 1007064 is 4607001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5014 + ... + 5210.

It is an arithmetic number, because the mean of its divisors is an integer number (57915).

21007064 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 1007064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389960).

1007064 is an abundant number, since it is smaller than the sum of its proper divisors (1772856).

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

1007064 is a wasteful number, since it uses less digits than its factorization.

1007064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1007064 is about 1003.5257844221. The cubic root of 1007064 is about 100.2349143869.

The spelling of 1007064 in words is "one million, seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 197 213 284 394 426 568 591 639 788 852 1182 1278 1576 1704 1773 2364 2556 3546 4728 5112 7092 13987 14184 27974 41961 55948 83922 111896 125883 167844 251766 335688 503532 1007064