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1072104 = 2331131131
BaseRepresentation
bin100000101101111101000
32000110122120
410011233220
5233301404
634551240
712053445
oct4055750
92013576
101072104
11672540
12438520
132b6ca7
141dc9cc
151629d9
hex105be8

1072104 has 64 divisors (see below), whose sum is σ = 3041280. Its totient is φ = 312000.

The previous prime is 1072103. The next prime is 1072129. The reversal of 1072104 is 4012701.

It is a super-2 number, since 2×10721042 = 2298813973632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1072103) 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, 8119 + ... + 8249.

It is an arithmetic number, because the mean of its divisors is an integer number (47520).

21072104 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 1072104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520640).

1072104 is an abundant number, since it is smaller than the sum of its proper divisors (1969176).

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

1072104 is a wasteful number, since it uses less digits than its factorization.

1072104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 1072104 is about 1035.4245506071. The cubic root of 1072104 is about 102.3479084824.

Adding to 1072104 its reverse (4012701), we get a palindrome (5084805).

It can be divided in two parts, 1072 and 104, that added together give a triangular number (1176 = T48).

The spelling of 1072104 in words is "one million, seventy-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 131 132 186 248 262 264 341 372 393 524 682 744 786 1023 1048 1364 1441 1572 2046 2728 2882 3144 4061 4092 4323 5764 8122 8184 8646 11528 12183 16244 17292 24366 32488 34584 44671 48732 89342 97464 134013 178684 268026 357368 536052 1072104