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1330132104 = 23347833533
BaseRepresentation
bin100111101001000…
…0011010010001000
310102200212201020000
41033102003102020
510211003211404
6335553203000
744650636110
oct11722032210
93380781200
101330132104
11622908a34
12311560460
13182758122
14c8926040
157bb93339
hex4f483488

1330132104 has 160 divisors (see below), whose sum is σ = 4310349120. Its totient is φ = 375352704.

The previous prime is 1330132099. The next prime is 1330132109. The reversal of 1330132104 is 4012310331.

It is an interprime number because it is at equal distance from previous prime (1330132099) and next prime (1330132109).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330132109) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 374722 + ... + 378254.

It is an arithmetic number, because the mean of its divisors is an integer number (26939682).

Almost surely, 21330132104 is an apocalyptic number.

1330132104 is a gapful number since it is divisible by the number (14) 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 1330132104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155174560).

1330132104 is an abundant number, since it is smaller than the sum of its proper divisors (2980217016).

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

1330132104 is a wasteful number, since it uses less digits than its factorization.

1330132104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1330132104 is about 36470.9761865514. The cubic root of 1330132104 is about 1099.7608582068.

Adding to 1330132104 its reverse (4012310331), we get a palindrome (5342442435).

The spelling of 1330132104 in words is "one billion, three hundred thirty million, one hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 83 84 108 126 162 166 168 189 216 249 252 324 332 378 498 504 567 581 648 664 747 756 996 1134 1162 1494 1512 1743 1992 2241 2268 2324 2988 3486 3533 4482 4536 4648 5229 5976 6723 6972 7066 8964 10458 10599 13446 13944 14132 15687 17928 20916 21198 24731 26892 28264 31374 31797 41832 42396 47061 49462 53784 62748 63594 74193 84792 94122 95391 98924 125496 127188 148386 188244 190782 197848 222579 254376 286173 293239 296772 376488 381564 445158 572346 586478 593544 667737 763128 879717 890316 1144692 1172956 1335474 1759434 1780632 2003211 2052673 2289384 2345912 2639151 2670948 3518868 4006422 4105346 5278302 5341896 6158019 7037736 7917453 8012844 8210692 10556604 12316038 15834906 16025688 16421384 18474057 21113208 23752359 24632076 31669812 36948114 47504718 49264152 55422171 63339624 73896228 95009436 110844342 147792456 166266513 190018872 221688684 332533026 443377368 665066052 1330132104