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1320040134 = 232783126223
BaseRepresentation
bin100111010101110…
…0011011011000110
310101222212222122100
41032223203123012
510200412241014
6334553012530
744466104340
oct11653433306
93358788570
101320040134
11618145766
1230a0b4146
1318063374a
14c745a290
157ad4d009
hex4eae36c6

1320040134 has 48 divisors (see below), whose sum is σ = 3308078592. Its totient is φ = 372607344.

The previous prime is 1320040133. The next prime is 1320040177. The reversal of 1320040134 is 4310400231.

It is a super-3 number, since 3×13200401343 (a number of 28 digits) contains 333 as substring.

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 (1320040133) 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, 52654 + ... + 73569.

It is an arithmetic number, because the mean of its divisors is an integer number (68918304).

Almost surely, 21320040134 is an apocalyptic number.

1320040134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1320040134 is an abundant number, since it is smaller than the sum of its proper divisors (1988038458).

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

1320040134 is a wasteful number, since it uses less digits than its factorization.

1320040134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126321 (or 126318 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1320040134 is about 36332.3565709685. The cubic root of 1320040134 is about 1096.9724279105.

Adding to 1320040134 its reverse (4310400231), we get a palindrome (5630440365).

The spelling of 1320040134 in words is "one billion, three hundred twenty million, forty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 83 126 166 249 498 581 747 1162 1494 1743 3486 5229 10458 126223 252446 378669 757338 883561 1136007 1767122 2272014 2650683 5301366 7952049 10476509 15904098 20953018 31429527 62859054 73335563 94288581 146671126 188577162 220006689 440013378 660020067 1320040134