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1293084 = 223413307
BaseRepresentation
bin100111011101100011100
32102200210000
410323230130
5312334314
643414300
713663632
oct4735434
92380700
101293084
11803571
12524390
13363750
14259352
151a8209
hex13bb1c

1293084 has 60 divisors (see below), whose sum is σ = 3652264. Its totient is φ = 396576.

The previous prime is 1293077. The next prime is 1293119. The reversal of 1293084 is 4803921.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4059 + ... + 4365.

21293084 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 1293084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826132).

1293084 is an abundant number, since it is smaller than the sum of its proper divisors (2359180).

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

1293084 is a wasteful number, since it uses less digits than its factorization.

1293084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1293084 is about 1137.1385139903. The cubic root of 1293084 is about 108.9454037387.

It can be divided in two parts, 12 and 93084, that added together give a triangular number (93096 = T431).

The spelling of 1293084 in words is "one million, two hundred ninety-three thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 307 324 351 468 614 702 921 1053 1228 1404 1842 2106 2763 3684 3991 4212 5526 7982 8289 11052 11973 15964 16578 23946 24867 33156 35919 47892 49734 71838 99468 107757 143676 215514 323271 431028 646542 1293084