Search a number
-
+
1361416 = 237223151
BaseRepresentation
bin101001100011000001000
32120011111211
411030120020
5322031131
645102504
714400100
oct5143010
92504454
101361416
1184a941
12557a34
13388894
14276200
151bd5b1
hex14c608

1361416 has 48 divisors (see below), whose sum is σ = 3119040. Its totient is φ = 554400.

The previous prime is 1361401. The next prime is 1361417. The reversal of 1361416 is 6141631.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1361417) 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 11 ways as a sum of consecutive naturals, for example, 8941 + ... + 9091.

It is an arithmetic number, because the mean of its divisors is an integer number (64980).

21361416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559520).

1361416 is an abundant number, since it is smaller than the sum of its proper divisors (1757624).

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

1361416 is a wasteful number, since it uses less digits than its factorization.

1361416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 1361416 is about 1166.7973260168. The cubic root of 1361416 is about 110.8316035433.

The spelling of 1361416 in words is "one million, three hundred sixty-one thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 151 161 184 196 302 322 392 604 644 1057 1127 1208 1288 2114 2254 3473 4228 4508 6946 7399 8456 9016 13892 14798 24311 27784 29596 48622 59192 97244 170177 194488 340354 680708 1361416