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1125344 = 251123139
BaseRepresentation
bin100010010101111100000
32010011200102
410102233200
5242002334
640041532
712364613
oct4225740
92104612
101125344
116a9540
124632a8
133052ac
1421417a
1517367e
hex112be0

1125344 has 48 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 485760.

The previous prime is 1125343. The next prime is 1125359. The reversal of 1125344 is 4435211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125343) 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, 8027 + ... + 8165.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

21125344 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 1125344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

1125344 is an abundant number, since it is smaller than the sum of its proper divisors (1414816).

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

1125344 is a wasteful number, since it uses less digits than its factorization.

1125344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 1125344 is about 1060.8223225404. The cubic root of 1125344 is about 104.0147907958.

Subtracting from 1125344 its product of digits (480), we obtain a cube (1124864 = 1043).

It can be divided in two parts, 11 and 25344, that multiplied together give a square (278784 = 5282).

The spelling of 1125344 in words is "one million, one hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 139 176 184 253 278 352 368 506 556 736 1012 1112 1529 2024 2224 3058 3197 4048 4448 6116 6394 8096 12232 12788 24464 25576 35167 48928 51152 70334 102304 140668 281336 562672 1125344