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1361040 = 243553107
BaseRepresentation
bin101001100010010010000
32120010222220
411030102100
5322023130
645101040
714366022
oct5142220
92503886
101361040
1184a62a
12557780
13388665
14276012
151bd410
hex14c490

1361040 has 80 divisors (see below), whose sum is σ = 4339008. Its totient is φ = 352768.

The previous prime is 1361029. The next prime is 1361047. The reversal of 1361040 is 401631.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12667 + ... + 12773.

21361040 is an apocalyptic number.

1361040 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 1361040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169504).

1361040 is an abundant number, since it is smaller than the sum of its proper divisors (2977968).

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

1361040 is a wasteful number, since it uses less digits than its factorization.

1361040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1361040 is about 1166.6361900781. The cubic root of 1361040 is about 110.8213993344.

Adding to 1361040 its reverse (401631), we get a palindrome (1762671).

It can be divided in two parts, 136 and 1040, that added together give a triangular number (1176 = T48).

The spelling of 1361040 in words is "one million, three hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 107 120 159 212 214 240 265 318 321 424 428 530 535 636 642 795 848 856 1060 1070 1272 1284 1590 1605 1712 2120 2140 2544 2568 3180 3210 4240 4280 5136 5671 6360 6420 8560 11342 12720 12840 17013 22684 25680 28355 34026 45368 56710 68052 85065 90736 113420 136104 170130 226840 272208 340260 453680 680520 1361040