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1361196928 = 27713137853
BaseRepresentation
bin101000100100010…
…0011011110000000
310111212022222011001
41101020203132000
510241431300203
6343023101344
745505661110
oct12110433600
93455288131
101361196928
116393a6443
1231ba41854
13189013990
14ccad1040
157e77c91d
hex51223780

1361196928 has 128 divisors (see below), whose sum is σ = 3365853120. Its totient is φ = 533938176.

The previous prime is 1361196923. The next prime is 1361196973. The reversal of 1361196928 is 8296911631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361196923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1595350 + ... + 1596202.

Almost surely, 21361196928 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 1361196928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682926560).

1361196928 is an abundant number, since it is smaller than the sum of its proper divisors (2004656192).

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

1361196928 is a wasteful number, since it uses less digits than its factorization.

1361196928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1012 counting only the distinct ones).

The product of its digits is 139968, while the sum is 46.

The square root of 1361196928 is about 36894.4023938592. The cubic root of 1361196928 is about 1108.2565840888.

The spelling of 1361196928 in words is "one billion, three hundred sixty-one million, one hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 137 182 208 224 274 364 416 448 548 728 832 853 896 959 1096 1456 1664 1706 1781 1918 2192 2912 3412 3562 3836 4384 5824 5971 6824 7124 7672 8768 11089 11648 11942 12467 13648 14248 15344 17536 22178 23884 24934 27296 28496 30688 44356 47768 49868 54592 56992 61376 77623 88712 95536 99736 109184 113984 116861 122752 155246 177424 191072 199472 227968 233722 310492 354848 382144 398944 467444 620984 709696 764288 797888 818027 934888 1241968 1419392 1519193 1595776 1636054 1869776 2483936 3038386 3272108 3739552 4967872 6076772 6544216 7479104 9935744 10634351 12153544 13088432 14958208 21268702 24307088 26176864 42537404 48614176 52353728 85074808 97228352 104707456 170149616 194456704 340299232 680598464 1361196928