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1320323136 = 263112921557
BaseRepresentation
bin100111010110010…
…1000100001000000
310102000102100211220
41032230220201000
510201000320021
6335003035040
744501363406
oct11654504100
93360370756
101320323136
11618319350
1230a20ba80
131807024c2
14c74d1476
157ada6cc6
hex4eb28840

1320323136 has 112 divisors (see below), whose sum is σ = 3942527040. Its totient is φ = 386283520.

The previous prime is 1320323023. The next prime is 1320323141. The reversal of 1320323136 is 6313230231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50470 + ... + 72026.

Almost surely, 21320323136 is an apocalyptic number.

1320323136 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 1320323136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971263520).

1320323136 is an abundant number, since it is smaller than the sum of its proper divisors (2622203904).

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

1320323136 is a wasteful number, since it uses less digits than its factorization.

1320323136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21612 (or 21602 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 1320323136 is about 36336.2509898861. The cubic root of 1320323136 is about 1097.0508152263.

Adding to 1320323136 its reverse (6313230231), we get a palindrome (7633553367).

The spelling of 1320323136 in words is "one billion, three hundred twenty million, three hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 132 174 176 192 232 264 319 348 352 464 528 638 696 704 928 957 1056 1276 1392 1856 1914 2112 2552 2784 3828 5104 5568 7656 10208 15312 20416 21557 30624 43114 61248 64671 86228 129342 172456 237127 258684 344912 474254 517368 625153 689824 711381 948508 1034736 1250306 1379648 1422762 1875459 1897016 2069472 2500612 2845524 3750918 3794032 4138944 5001224 5691048 6876683 7501836 7588064 10002448 11382096 13753366 15003672 15176128 20004896 20630049 22764192 27506732 30007344 40009792 41260098 45528384 55013464 60014688 82520196 110026928 120029376 165040392 220053856 330080784 440107712 660161568 1320323136