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1363303136 = 251341671193
BaseRepresentation
bin101000101000010…
…0101101011100000
310112000021222022202
41101100211223200
510243001200021
6343140152332
745532612466
oct12120455340
93460258282
101363303136
1163a604908
123206986a8
131895a0560
14cd0bc836
157ea46a0b
hex51425ae0

1363303136 has 96 divisors (see below), whose sum is σ = 3007676448. Its totient is φ = 604200960.

The previous prime is 1363303133. The next prime is 1363303199. The reversal of 1363303136 is 6313033631.

It is a junction number, because it is equal to n+sod(n) for n = 1363303099 and 1363303108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363303133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1142156 + ... + 1143348.

It is an arithmetic number, because the mean of its divisors is an integer number (31329963).

Almost surely, 21363303136 is an apocalyptic number.

1363303136 is a gapful number since it is divisible by the number (16) 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 1363303136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503838224).

1363303136 is an abundant number, since it is smaller than the sum of its proper divisors (1644373312).

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

1363303136 is a wasteful number, since it uses less digits than its factorization.

1363303136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 29.

The square root of 1363303136 is about 36922.9350945994. The cubic root of 1363303136 is about 1108.8278989223.

Adding to 1363303136 its reverse (6313033631), we get a palindrome (7676336767).

The spelling of 1363303136 in words is "one billion, three hundred sixty-three million, three hundred three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 41 52 67 82 104 134 164 208 268 328 416 533 536 656 871 1066 1072 1193 1312 1742 2132 2144 2386 2747 3484 4264 4772 5494 6968 8528 9544 10988 13936 15509 17056 19088 21976 27872 31018 35711 38176 43952 48913 62036 71422 79931 87904 97826 124072 142844 159862 195652 248144 285688 319724 391304 496288 571376 635869 639448 782608 1039103 1142752 1271738 1278896 1565216 2078206 2543476 2557792 3277171 4156412 5086952 6554342 8312824 10173904 13108684 16625648 20347808 26217368 33251296 42603223 52434736 85206446 104869472 170412892 340825784 681651568 1363303136