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1293072 = 243113179
BaseRepresentation
bin100111011101100010000
32102200202120
410323230100
5312334242
643414240
713663614
oct4735420
92380676
101293072
11803560
12524380
13363741
14259344
151a81ec
hex13bb10

1293072 has 80 divisors (see below), whose sum is σ = 3809280. Its totient is φ = 374400.

The previous prime is 1293031. The next prime is 1293077. The reversal of 1293072 is 2703921.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1293077) 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, 16329 + ... + 16407.

It is an arithmetic number, because the mean of its divisors is an integer number (47616).

21293072 is an apocalyptic number.

1293072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1293072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904640).

1293072 is an abundant number, since it is smaller than the sum of its proper divisors (2516208).

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

1293072 is a wasteful number, since it uses less digits than its factorization.

1293072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 1293072 is about 1137.1332375760. The cubic root of 1293072 is about 108.9450667281.

Adding to 1293072 its reverse (2703921), we get a palindrome (3996993).

The spelling of 1293072 in words is "one million, two hundred ninety-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 79 88 93 124 132 158 176 186 237 248 264 316 341 372 474 496 528 632 682 744 869 948 1023 1264 1364 1488 1738 1896 2046 2449 2607 2728 3476 3792 4092 4898 5214 5456 6952 7347 8184 9796 10428 13904 14694 16368 19592 20856 26939 29388 39184 41712 53878 58776 80817 107756 117552 161634 215512 323268 431024 646536 1293072