Search a number
-
+
1350070032 = 243833171069
BaseRepresentation
bin101000001111000…
…0110111100010000
310111002101122220210
41100132012330100
510231104220112
6341544404120
745312256143
oct12036067420
93432348823
101350070032
11633096663
12318176640
1318691920c
14cb43605a
157d7d0b3c
hex50786f10

1350070032 has 80 divisors (see below), whose sum is σ = 3544148160. Its totient is φ = 442784256.

The previous prime is 1350069983. The next prime is 1350070049. The reversal of 1350070032 is 2300700531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1350069990 and 1350070008.

It is an unprimeable number.

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, 1262394 + ... + 1263462.

It is an arithmetic number, because the mean of its divisors is an integer number (44301852).

Almost surely, 21350070032 is an apocalyptic number.

1350070032 is a gapful number since it is divisible by the number (12) 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 1350070032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772074080).

1350070032 is an abundant number, since it is smaller than the sum of its proper divisors (2194078128).

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

1350070032 is a wasteful number, since it uses less digits than its factorization.

1350070032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 1350070032 is about 36743.2991441977. The cubic root of 1350070032 is about 1105.2285603797.

Adding to 1350070032 its reverse (2300700531), we get a palindrome (3650770563).

The spelling of 1350070032 in words is "one billion, three hundred fifty million, seventy thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 317 332 498 634 664 951 996 1069 1268 1328 1902 1992 2138 2536 3207 3804 3984 4276 5072 6414 7608 8552 12828 15216 17104 25656 26311 51312 52622 78933 88727 105244 157866 177454 210488 266181 315732 338873 354908 420976 532362 631464 677746 709816 1016619 1064724 1262928 1355492 1419632 2033238 2129448 2710984 4066476 4258896 5421968 8132952 16265904 28126459 56252918 84379377 112505836 168758754 225011672 337517508 450023344 675035016 1350070032