Search a number
-
+
1321738992 = 24337437083
BaseRepresentation
bin100111011001000…
…0010001011110000
310102010002022001000
41032302002023300
510201331121432
6335053242000
744516411310
oct11662021360
93363068030
101321738992
116190a6082
1230a793300
13180aa9aa2
14c777d440
157b08657c
hex4ec822f0

1321738992 has 80 divisors (see below), whose sum is σ = 4335873280. Its totient is φ = 377638848.

The previous prime is 1321738991. The next prime is 1321738993. The reversal of 1321738992 is 2998371231.

It is an interprime number because it is at equal distance from previous prime (1321738991) and next prime (1321738993).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321738991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215518 + ... + 221565.

It is an arithmetic number, because the mean of its divisors is an integer number (54198416).

Almost surely, 21321738992 is an apocalyptic number.

1321738992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1321738992 is an abundant number, since it is smaller than the sum of its proper divisors (3014134288).

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

1321738992 is a wasteful number, since it uses less digits than its factorization.

1321738992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437107 (or 437095 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 1321738992 is about 36355.7284619632. The cubic root of 1321738992 is about 1097.4428180245.

The spelling of 1321738992 in words is "one billion, three hundred twenty-one million, seven hundred thirty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 437083 874166 1311249 1748332 2622498 3059581 3496664 3933747 5244996 6119162 6993328 7867494 9178743 10489992 11801241 12238324 15734988 18357486 20979984 23602482 24476648 27536229 31469976 36714972 47204964 48953296 55072458 62939952 73429944 82608687 94409928 110144916 146859888 165217374 188819856 220289832 330434748 440579664 660869496 1321738992