Search a number
-
+
1060908128 = 25741711627
BaseRepresentation
bin111111001111000…
…010110001100000
32201221021201100122
4333033002301200
54133043030003
6253134535412
735201366420
oct7717026140
92657251318
101060908128
114a4944a85
12257367568
1313ba445b7
14a0c84480
1563213238
hex3f3c2c60

1060908128 has 96 divisors (see below), whose sum is σ = 2481228288. Its totient is φ = 437068800.

The previous prime is 1060908091. The next prime is 1060908181. The reversal of 1060908128 is 8218090601.

1060908128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10609081282 = 2251052112112928768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651251 + ... + 652877.

It is an arithmetic number, because the mean of its divisors is an integer number (25846128).

Almost surely, 21060908128 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 1060908128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240614144).

1060908128 is an abundant number, since it is smaller than the sum of its proper divisors (1420320160).

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

1060908128 is a wasteful number, since it uses less digits than its factorization.

1060908128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 35.

The square root of 1060908128 is about 32571.5846713051. The cubic root of 1060908128 is about 1019.9039150807.

Adding to 1060908128 its reverse (8218090601), we get a palindrome (9278998729).

The spelling of 1060908128 in words is "one billion, sixty million, nine hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 71 82 112 142 164 224 284 287 328 497 568 574 656 994 1136 1148 1312 1627 1988 2272 2296 2911 3254 3976 4592 5822 6508 7952 9184 11389 11644 13016 15904 20377 22778 23288 26032 40754 45556 46576 52064 66707 81508 91112 93152 115517 133414 163016 182224 231034 266828 326032 364448 462068 466949 533656 652064 808619 924136 933898 1067312 1617238 1848272 1867796 2134624 3234476 3696544 3735592 4736197 6468952 7471184 9472394 12937904 14942368 18944788 25875808 33153379 37889576 66306758 75779152 132613516 151558304 265227032 530454064 1060908128