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1300140 = 2232531233
BaseRepresentation
bin100111101011010101100
32110001110100
410331122230
5313101030
643511100
714023332
oct4753254
92401410
101300140
118088a6
12528490
13366a1a
1425bb52
151aa360
hex13d6ac

1300140 has 72 divisors (see below), whose sum is σ = 4088448. Its totient is φ = 334080.

The previous prime is 1300139. The next prime is 1300141. The reversal of 1300140 is 410031.

1300140 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (1300139) and next prime (1300141).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1300141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5464 + ... + 5696.

It is an arithmetic number, because the mean of its divisors is an integer number (56784).

21300140 is an apocalyptic number.

1300140 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 1300140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044224).

1300140 is an abundant number, since it is smaller than the sum of its proper divisors (2788308).

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

1300140 is a wasteful number, since it uses less digits than its factorization.

1300140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1300140 is about 1140.2368175077. The cubic root of 1300140 is about 109.1432059861.

1300140 divided by its product of nonzero digits (12) gives a triangular number (108345 = T465).

Adding to 1300140 its reverse (410031), we get a palindrome (1710171).

It can be divided in two parts, 13001 and 40, that added together give a triangular number (13041 = T161).

The spelling of 1300140 in words is "one million, three hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 233 279 310 372 465 466 558 620 699 930 932 1116 1165 1395 1398 1860 2097 2330 2790 2796 3495 4194 4660 5580 6990 7223 8388 10485 13980 14446 20970 21669 28892 36115 41940 43338 65007 72230 86676 108345 130014 144460 216690 260028 325035 433380 650070 1300140