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1268740 = 225117379
BaseRepresentation
bin100110101110000000100
32101110101101
410311300010
5311044430
643105444
713532644
oct4656004
92343341
101268740
11797250
12512284
13355645
14250524
151a0dca
hex135c04

1268740 has 48 divisors (see below), whose sum is σ = 2983680. Its totient is φ = 449280.

The previous prime is 1268731. The next prime is 1268741. The reversal of 1268740 is 478621.

1268740 = T32 + T33 + ... + T196.

It is a junction number, because it is equal to n+sod(n) for n = 1268699 and 1268708.

It is not an unprimeable number, because it can be changed into a prime (1268741) 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, 16021 + ... + 16099.

It is an arithmetic number, because the mean of its divisors is an integer number (62160).

21268740 is an apocalyptic number.

1268740 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 1268740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491840).

1268740 is an abundant number, since it is smaller than the sum of its proper divisors (1714940).

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

1268740 is a wasteful number, since it uses less digits than its factorization.

1268740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1268740 is about 1126.3835936305. The cubic root of 1268740 is about 108.2573879292.

The spelling of 1268740 in words is "one million, two hundred sixty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 79 110 146 158 220 292 316 365 395 730 790 803 869 1460 1580 1606 1738 3212 3476 4015 4345 5767 8030 8690 11534 16060 17380 23068 28835 57670 63437 115340 126874 253748 317185 634370 1268740