Search a number
-
+
1319929668 = 22344618837
BaseRepresentation
bin100111010101100…
…1000011101000100
310101222200101010000
41032223020131010
510200400222133
6334550401300
744465134311
oct11653103504
93358611100
101319929668
1161807a772
1230a060230
131805c5395
14c742bd08
157ad2a413
hex4eac8744

1319929668 has 60 divisors (see below), whose sum is σ = 3458433132. Its totient is φ = 438972480.

The previous prime is 1319929631. The next prime is 1319929673. The reversal of 1319929668 is 8669299131.

It can be written as a sum of positive squares in 2 ways, for example, as 1021953024 + 297976644 = 31968^2 + 17262^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144946 + ... + 153782.

Almost surely, 21319929668 is an apocalyptic number.

1319929668 is a gapful number since it is divisible by the number (18) 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 1319929668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729216566).

1319929668 is an abundant number, since it is smaller than the sum of its proper divisors (2138503464).

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

1319929668 is a wasteful number, since it uses less digits than its factorization.

1319929668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9314 (or 9303 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 1319929668 is about 36330.8363239824. The cubic root of 1319929668 is about 1096.9418274428.

The spelling of 1319929668 in words is "one billion, three hundred nineteen million, nine hundred twenty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 461 922 1383 1844 2766 4149 5532 8298 8837 12447 16596 17674 24894 26511 35348 37341 49788 53022 74682 79533 106044 149364 159066 238599 318132 477198 715797 954396 1431594 2863188 4073857 8147714 12221571 16295428 24443142 36664713 48886284 73329426 109994139 146658852 219988278 329982417 439976556 659964834 1319929668