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1361036988 = 2232832811621
BaseRepresentation
bin101000100011111…
…1100011010111100
310111212000211202100
41101013330122330
510241411140423
6343015425100
745504423603
oct12107743274
93455024670
101361036988
116392a7263
1231b985190
13188c88c3c
14cca8ca3a
157e74a343
hex511fc6bc

1361036988 has 72 divisors (see below), whose sum is σ = 3496396176. Its totient is φ = 446342400.

The previous prime is 1361036981. The next prime is 1361037053. The reversal of 1361036988 is 8896301631.

It is a happy number.

It is a super-2 number, since 2×13610369882 = 3704843365408224288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361036981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 838818 + ... + 840438.

It is an arithmetic number, because the mean of its divisors is an integer number (48561058).

Almost surely, 21361036988 is an apocalyptic number.

1361036988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361036988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748198088).

1361036988 is an abundant number, since it is smaller than the sum of its proper divisors (2135359188).

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

1361036988 is a wasteful number, since it uses less digits than its factorization.

1361036988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1361036988 is about 36892.2347927040. The cubic root of 1361036988 is about 1108.2131758458.

The spelling of 1361036988 in words is "one billion, three hundred sixty-one million, thirty-six thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 281 332 498 562 747 843 996 1124 1494 1621 1686 2529 2988 3242 3372 4863 5058 6484 9726 10116 14589 19452 23323 29178 46646 58356 69969 93292 134543 139938 209907 269086 279876 403629 419814 455501 538172 807258 839628 911002 1210887 1366503 1614516 1822004 2421774 2733006 4099509 4843548 5466012 8199018 16398036 37806583 75613166 113419749 151226332 226839498 340259247 453678996 680518494 1361036988