Search a number
-
+
1361472 = 26371013
BaseRepresentation
bin101001100011001000000
32120011120220
411030121000
5322031342
645103040
714400210
oct5143100
92504526
101361472
1184a992
12557a80
13388908
14276240
151bd5ec
hex14c640

1361472 has 56 divisors (see below), whose sum is σ = 4120896. Its totient is φ = 388608.

The previous prime is 1361471. The next prime is 1361491. The reversal of 1361472 is 2741631.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1361471) 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 7 ways as a sum of consecutive naturals, for example, 838 + ... + 1850.

21361472 is an apocalyptic number.

1361472 is a gapful number since it is divisible by the number (12) 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 1361472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060448).

1361472 is an abundant number, since it is smaller than the sum of its proper divisors (2759424).

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

1361472 is a wasteful number, since it uses less digits than its factorization.

1361472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1025 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 1361472 is about 1166.8213230825. The cubic root of 1361472 is about 110.8331231584.

The spelling of 1361472 in words is "one million, three hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1013 1344 2026 3039 4052 6078 7091 8104 12156 14182 16208 21273 24312 28364 32416 42546 48624 56728 64832 85092 97248 113456 170184 194496 226912 340368 453824 680736 1361472