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1413120632 = 237116137607
BaseRepresentation
bin101010000111010…
…1000001001111000
310122111000222002012
41110032220021320
510343224330012
6352120025052
750006220140
oct12416501170
93574028065
101413120632
116657404a0
12335302188
131969c3871
14d5969920
15840d7622
hex543a8278

1413120632 has 64 divisors (see below), whose sum is σ = 3357642240. Its totient is φ = 541526400.

The previous prime is 1413120617. The next prime is 1413120661. The reversal of 1413120632 is 2360213141.

It is a junction number, because it is equal to n+sod(n) for n = 1413120598 and 1413120607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18773 + ... + 56379.

It is an arithmetic number, because the mean of its divisors is an integer number (52463160).

Almost surely, 21413120632 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 1413120632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678821120).

1413120632 is an abundant number, since it is smaller than the sum of its proper divisors (1944521608).

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

1413120632 is a wasteful number, since it uses less digits than its factorization.

1413120632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37692 (or 37688 counting only the distinct ones).

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

The square root of 1413120632 is about 37591.4968044636. The cubic root of 1413120632 is about 1122.1728206524.

Adding to 1413120632 its reverse (2360213141), we get a palindrome (3773333773).

The spelling of 1413120632 in words is "one billion, four hundred thirteen million, one hundred twenty thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 61 77 88 122 154 244 308 427 488 616 671 854 1342 1708 2684 3416 4697 5368 9394 18788 37576 37607 75214 150428 263249 300856 413677 526498 827354 1052996 1654708 2105992 2294027 2895739 3309416 4588054 5791478 9176108 11582956 16058189 18352216 23165912 25234297 32116378 50468594 64232756 100937188 128465512 176640079 201874376 353280158 706560316 1413120632