Search a number
-
+
1001720192 = 27113132273
BaseRepresentation
bin111011101101010…
…000100110000000
32120210220122202212
4323231100212000
54022420021232
6243222201252
733552324014
oct7355204600
92523818685
101001720192
11474499230
1223b583228
1312c6c0155
1497078544
155ce20eb2
hex3bb50980

1001720192 has 64 divisors (see below), whose sum is σ = 2184950160. Its totient is φ = 453672960.

The previous prime is 1001720177. The next prime is 1001720201. The reversal of 1001720192 is 2910271001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 439568 + ... + 441840.

Almost surely, 21001720192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001720192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092475080).

1001720192 is an abundant number, since it is smaller than the sum of its proper divisors (1183229968).

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

1001720192 is a wasteful number, since it uses less digits than its factorization.

1001720192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 1001720192 is about 31649.9635386836. The cubic root of 1001720192 is about 1000.5730688627.

Adding to 1001720192 its reverse (2910271001), we get a palindrome (3911991193).

The spelling of 1001720192 in words is "one billion, one million, seven hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 313 352 626 704 1252 1408 2273 2504 3443 4546 5008 6886 9092 10016 13772 18184 20032 25003 27544 36368 40064 50006 55088 72736 100012 110176 145472 200024 220352 290944 400048 440704 711449 800096 1422898 1600192 2845796 3200384 5691592 7825939 11383184 15651878 22766368 31303756 45532736 62607512 91065472 125215024 250430048 500860096 1001720192