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1361151424 = 26292932503
BaseRepresentation
bin101000100100001…
…1000010111000000
310111212020122201201
41101020120113000
510241423321144
6343022110544
745505411333
oct12110302700
93455218651
101361151424
11639375236
1231ba1b454
13188cc9059
14ccabc61a
157e76e1d4
hex512185c0

1361151424 has 56 divisors (see below), whose sum is σ = 2804830560. Its totient is φ = 654603264.

The previous prime is 1361151419. The next prime is 1361151509. The reversal of 1361151424 is 4241511631.

It is a junction number, because it is equal to n+sod(n) for n = 1361151392 and 1361151401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 542557 + ... + 545059.

It is an arithmetic number, because the mean of its divisors is an integer number (50086260).

Almost surely, 21361151424 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 1361151424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402415280).

1361151424 is an abundant number, since it is smaller than the sum of its proper divisors (1443679136).

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

1361151424 is a wasteful number, since it uses less digits than its factorization.

1361151424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2827 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 1361151424 is about 36893.7857097913. The cubic root of 1361151424 is about 1108.2442344993.

The spelling of 1361151424 in words is "one billion, three hundred sixty-one million, one hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 293 464 586 928 1172 1856 2344 2503 4688 5006 8497 9376 10012 16994 18752 20024 33988 40048 67976 72587 80096 135952 145174 160192 271904 290348 543808 580696 733379 1161392 1466758 2322784 2933516 4645568 5867032 11734064 21267991 23468128 42535982 46936256 85071964 170143928 340287856 680575712 1361151424