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1340892080 = 2451115110091
BaseRepresentation
bin100111111101100…
…0110001110110000
310110110010101010122
41033323012032300
510221232021310
6341015545412
745141252233
oct11773061660
93413111118
101340892080
11628998080
1231508b268
13184a54888
14ca12741a
157cabb555
hex4fec63b0

1340892080 has 80 divisors (see below), whose sum is σ = 3423852288. Its totient is φ = 484320000.

The previous prime is 1340892071. The next prime is 1340892083. The reversal of 1340892080 is 802980431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1340892080.

It is not an unprimeable number, because it can be changed into a prime (1340892083) 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 15 ways as a sum of consecutive naturals, for example, 127835 + ... + 137925.

Almost surely, 21340892080 is an apocalyptic number.

1340892080 is a gapful number since it is divisible by the number (10) 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 1340892080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711926144).

1340892080 is an abundant number, since it is smaller than the sum of its proper divisors (2082960208).

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

1340892080 is a wasteful number, since it uses less digits than its factorization.

1340892080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10266 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 1340892080 is about 36618.1932924059. The cubic root of 1340892080 is about 1102.7183676276.

The spelling of 1340892080 in words is "one billion, three hundred forty million, eight hundred ninety-two thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 151 176 220 302 440 604 755 880 1208 1510 1661 2416 3020 3322 6040 6644 8305 10091 12080 13288 16610 20182 26576 33220 40364 50455 66440 80728 100910 111001 132880 161456 201820 222002 403640 444004 555005 807280 888008 1110010 1523741 1776016 2220020 3047482 4440040 6094964 7618705 8880080 12189928 15237410 16761151 24379856 30474820 33522302 60949640 67044604 83805755 121899280 134089208 167611510 268178416 335223020 670446040 1340892080