Search a number
-
+
1268130 = 235411031
BaseRepresentation
bin100110101100110100010
32101102112210
410311212202
5311040010
643102550
713531113
oct4654642
92342483
101268130
11796846
12511a56
13355296
1425020a
151a0b20
hex1359a2

1268130 has 32 divisors (see below), whose sum is σ = 3120768. Its totient is φ = 329600.

The previous prime is 1268119. The next prime is 1268143. The reversal of 1268130 is 318621.

It is a junction number, because it is equal to n+sod(n) for n = 1268097 and 1268106.

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, 715 + ... + 1745.

It is an arithmetic number, because the mean of its divisors is an integer number (97524).

21268130 is an apocalyptic number.

1268130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560384).

1268130 is an abundant number, since it is smaller than the sum of its proper divisors (1852638).

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

1268130 is a wasteful number, since it uses less digits than its factorization.

1268130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1268130 is about 1126.1127829840. The cubic root of 1268130 is about 108.2400353871.

It can be divided in two parts, 126 and 8130, that added together give a triangular number (8256 = T128).

The spelling of 1268130 in words is "one million, two hundred sixty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1031 1230 2062 3093 5155 6186 10310 15465 30930 42271 84542 126813 211355 253626 422710 634065 1268130