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1320242364 = 2232738313679
BaseRepresentation
bin100111010110001…
…0100110010111100
310102000021021001100
41032230110302330
510200440223424
6335001213100
744500606050
oct11654246274
93360237040
101320242364
116182736a1
1230a191190
131806a47cc
14c74adc60
157ad8cdc9
hex4eb14cbc

1320242364 has 72 divisors (see below), whose sum is σ = 3824271360. Its totient is φ = 376199712.

The previous prime is 1320242347. The next prime is 1320242387. The reversal of 1320242364 is 4632420231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89677 + ... + 103355.

It is an arithmetic number, because the mean of its divisors is an integer number (53114880).

Almost surely, 21320242364 is an apocalyptic number.

1320242364 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 1320242364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912135680).

1320242364 is an abundant number, since it is smaller than the sum of its proper divisors (2504028996).

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

1320242364 is a wasteful number, since it uses less digits than its factorization.

1320242364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14079 (or 14074 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1320242364 is about 36335.1395208550. The cubic root of 1320242364 is about 1097.0284437343.

Adding to 1320242364 its reverse (4632420231), we get a palindrome (5952662595).

The spelling of 1320242364 in words is "one billion, three hundred twenty million, two hundred forty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 383 766 1149 1532 2298 2681 3447 4596 5362 6894 8043 10724 13679 13788 16086 24129 27358 32172 41037 48258 54716 82074 95753 96516 123111 164148 191506 246222 287259 383012 492444 574518 861777 1149036 1723554 3447108 5239057 10478114 15717171 20956228 31434342 36673399 47151513 62868684 73346798 94303026 110020197 146693596 188606052 220040394 330060591 440080788 660121182 1320242364