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1150151660 = 225717372353
BaseRepresentation
bin100010010001101…
…1110101111101100
32222011012202110122
41010203132233230
54323414323120
6310043424112
740334061560
oct10443365754
92864182418
101150151660
11540259a69
12281225038
13154390118
14aca756a0
156ae90a25
hex448debec

1150151660 has 144 divisors (see below), whose sum is σ = 3012375744. Its totient is φ = 360087552.

The previous prime is 1150151657. The next prime is 1150151669. The reversal of 1150151660 is 661510511.

It is not an unprimeable number, because it can be changed into a prime (1150151669) 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 47 ways as a sum of consecutive naturals, for example, 3258044 + ... + 3258396.

It is an arithmetic number, because the mean of its divisors is an integer number (20919276).

Almost surely, 21150151660 is an apocalyptic number.

1150151660 is a gapful number since it is divisible by the number (10) 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 1150151660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506187872).

1150151660 is an abundant number, since it is smaller than the sum of its proper divisors (1862224084).

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

1150151660 is a wasteful number, since it uses less digits than its factorization.

1150151660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The square root of 1150151660 is about 33913.8859466148. The cubic root of 1150151660 is about 1047.7356069726.

The spelling of 1150151660 in words is "one billion, one hundred fifty million, one hundred fifty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 37 68 70 74 85 119 140 148 170 185 238 259 340 353 370 476 518 595 629 706 740 1036 1190 1258 1295 1369 1412 1765 2380 2471 2516 2590 2738 3145 3530 4403 4942 5180 5476 6001 6290 6845 7060 8806 9583 9884 12002 12355 12580 13061 13690 17612 19166 22015 23273 24004 24710 26122 27380 30005 38332 42007 44030 46546 47915 49420 52244 60010 65305 84014 88060 91427 93092 95830 116365 120020 130610 162911 168028 182854 191660 210035 222037 232730 261220 325822 365708 420070 444074 457135 465460 483257 651644 814555 840140 888148 914270 966514 1110185 1554259 1629110 1828540 1933028 2220370 2416285 3108518 3258220 3382799 4440740 4832570 6217036 6765598 7771295 8215369 9665140 13531196 15542590 16430738 16913995 31085180 32861476 33827990 41076845 57507583 67655980 82153690 115015166 164307380 230030332 287537915 575075830 1150151660