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1293140 = 225194183
BaseRepresentation
bin100111011101101010100
32102200212002
410323231110
5312340030
643414432
713664042
oct4735524
92380762
101293140
11803612
12524418
13363794
14259392
151a8245
hex13bb54

1293140 has 48 divisors (see below), whose sum is σ = 2963520. Its totient is φ = 472320.

The previous prime is 1293137. The next prime is 1293157. The reversal of 1293140 is 413921.

It is a super-2 number, since 2×12931402 = 3344422119200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15539 + ... + 15621.

It is an arithmetic number, because the mean of its divisors is an integer number (61740).

21293140 is an apocalyptic number.

1293140 is a gapful number since it is divisible by the number (10) 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 1293140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481760).

1293140 is an abundant number, since it is smaller than the sum of its proper divisors (1670380).

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

1293140 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (1293139) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (150).

1293140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1293140 is about 1137.1631369333. The cubic root of 1293140 is about 108.9469764270.

The spelling of 1293140 in words is "one million, two hundred ninety-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 83 95 164 166 190 205 332 380 410 415 779 820 830 1558 1577 1660 3116 3154 3403 3895 6308 6806 7790 7885 13612 15580 15770 17015 31540 34030 64657 68060 129314 258628 323285 646570 1293140