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1380632 = 231129541
BaseRepresentation
bin101010001000100011000
32121010212112
411101010120
5323140012
645331452
714510111
oct5210430
92533775
101380632
11863320
12566b88
13394556
1427d208
151c4122
hex151118

1380632 has 32 divisors (see below), whose sum is σ = 2926800. Its totient is φ = 604800.

The previous prime is 1380629. The next prime is 1380637. The reversal of 1380632 is 2360831.

It is a super-2 number, since 2×13806322 = 3812289438848, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 1380598 and 1380607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380637) 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, 2282 + ... + 2822.

21380632 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 1380632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463400).

1380632 is an abundant number, since it is smaller than the sum of its proper divisors (1546168).

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

1380632 is a wasteful number, since it uses less digits than its factorization.

1380632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 1380632 is about 1175.0029787196. The cubic root of 1380632 is about 111.3506214164.

The spelling of 1380632 in words is "one million, three hundred eighty thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 541 638 1082 1276 2164 2552 4328 5951 11902 15689 23804 31378 47608 62756 125512 172579 345158 690316 1380632