Search a number
-
+
1969923768 = 233316773911
BaseRepresentation
bin111010101101010…
…1010011010111000
312002021202111101120
41311122222122320
513013300030033
6523250145240
766550034661
oct16532523270
95067674346
101969923768
11920a7497a
1246b882220
13255176787
141498aa368
15b7e211b3
hex756aa6b8

1969923768 has 64 divisors (see below), whose sum is σ = 5092485120. Its totient is φ = 634358400.

The previous prime is 1969923763. The next prime is 1969923793. The reversal of 1969923768 is 8673299691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1969923763) 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, 501733 + ... + 505643.

It is an arithmetic number, because the mean of its divisors is an integer number (79570080).

Almost surely, 21969923768 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 1969923768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546242560).

1969923768 is an abundant number, since it is smaller than the sum of its proper divisors (3122561352).

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

1969923768 is a wasteful number, since it uses less digits than its factorization.

1969923768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628 (or 4624 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 60.

The square root of 1969923768 is about 44383.8232692949. The cubic root of 1969923768 is about 1253.5735114509.

The spelling of 1969923768 in words is "one billion, nine hundred sixty-nine million, nine hundred twenty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 677 744 1354 2031 2708 3911 4062 5416 7822 8124 11733 15644 16248 20987 23466 31288 41974 46932 62961 83948 93864 121241 125922 167896 242482 251844 363723 484964 503688 727446 969928 1454892 2647747 2909784 5295494 7943241 10590988 15886482 21181976 31772964 63545928 82080157 164160314 246240471 328320628 492480942 656641256 984961884 1969923768