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1361640 = 233571621
BaseRepresentation
bin101001100011011101000
32120011211010
411030123220
5322033030
645103520
714400540
oct5143350
92504733
101361640
11850025
12557ba0
13388a07
14276320
151bd6b0
hex14c6e8

1361640 has 64 divisors (see below), whose sum is σ = 4671360. Its totient is φ = 311040.

The previous prime is 1361629. The next prime is 1361677. The reversal of 1361640 is 461631.

1361640 = T127 + T128 + ... + T216.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 30 + ... + 1650.

It is an arithmetic number, because the mean of its divisors is an integer number (72990).

21361640 is an apocalyptic number.

1361640 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 1361640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335680).

1361640 is an abundant number, since it is smaller than the sum of its proper divisors (3309720).

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

1361640 is a wasteful number, since it uses less digits than its factorization.

1361640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1361640 is about 1166.8933113186. The cubic root of 1361640 is about 110.8376817535.

Subtracting from 1361640 its reverse (461631), we obtain a palindrome (900009).

The spelling of 1361640 in words is "one million, three hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1621 3242 4863 6484 8105 9726 11347 12968 16210 19452 22694 24315 32420 34041 38904 45388 48630 56735 64840 68082 90776 97260 113470 136164 170205 194520 226940 272328 340410 453880 680820 1361640