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1072149 = 31337743
BaseRepresentation
bin100000101110000010101
32000110201020
410011300111
5233302044
634551353
712053541
oct4056025
92013636
101072149
11672581
12438559
132b7010
141dca21
15162a19
hex105c15

1072149 has 16 divisors (see below), whose sum is σ = 1583232. Its totient is φ = 641088.

The previous prime is 1072147. The next prime is 1072157. The reversal of 1072149 is 9412701.

1072149 = T222 + T223 + ... + T258.

It is not a de Polignac number, because 1072149 - 21 = 1072147 is a prime.

It is a super-2 number, since 2×10721492 = 2299006956402, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

1072149 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072147) 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, 1072 + ... + 1814.

It is an arithmetic number, because the mean of its divisors is an integer number (98952).

21072149 is an apocalyptic number.

It is an amenable number.

1072149 is a deficient number, since it is larger than the sum of its proper divisors (511083).

1072149 is a wasteful number, since it uses less digits than its factorization.

1072149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 1072149 is about 1035.4462805960. The cubic root of 1072149 is about 102.3493404304.

It can be divided in two parts, 1072 and 149, that added together give a palindrome (1221).

The spelling of 1072149 in words is "one million, seventy-two thousand, one hundred forty-nine".

Divisors: 1 3 13 37 39 111 481 743 1443 2229 9659 27491 28977 82473 357383 1072149