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1072134 = 232767127
BaseRepresentation
bin100000101110000000110
32000110200200
410011300012
5233302014
634551330
712053520
oct4056006
92013620
101072134
11672568
12438546
132b6ccb
141dca10
15162a09
hex105c06

1072134 has 48 divisors (see below), whose sum is σ = 2715648. Its totient is φ = 299376.

The previous prime is 1072133. The next prime is 1072147. The reversal of 1072134 is 4312701.

It is a super-2 number, since 2×10721342 = 2298942627912, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8379 + ... + 8505.

It is an arithmetic number, because the mean of its divisors is an integer number (56576).

21072134 is an apocalyptic number.

1072134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357824).

1072134 is an abundant number, since it is smaller than the sum of its proper divisors (1643514).

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

1072134 is a wasteful number, since it uses less digits than its factorization.

1072134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 206 counting only the distinct ones).

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

The square root of 1072134 is about 1035.4390373170. The cubic root of 1072134 is about 102.3488631189.

Adding to 1072134 its reverse (4312701), we get a palindrome (5384835).

The spelling of 1072134 in words is "one million, seventy-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 127 134 201 254 381 402 469 603 762 889 938 1143 1206 1407 1778 2286 2667 2814 4221 5334 8001 8442 8509 16002 17018 25527 51054 59563 76581 119126 153162 178689 357378 536067 1072134