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1014450660 = 22325191911553
BaseRepresentation
bin111100011101110…
…100100111100100
32121200212102200200
4330131310213210
54034144410120
6244355110500
734065455046
oct7435644744
92550772620
101014450660
114806a3883
122438a2430
13132229782
1498a2da96
155e0d7e90
hex3c7749e4

1014450660 has 144 divisors (see below), whose sum is σ = 3258178560. Its totient is φ = 254776320.

The previous prime is 1014450649. The next prime is 1014450667. The reversal of 1014450660 is 660544101.

1014450660 is a `hidden beast` number, since 10 + 144 + 506 + 6 + 0 = 666.

It is a super-2 number, since 2×10144506602 = 2058220283148871200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1014450667) 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, 652444 + ... + 653996.

It is an arithmetic number, because the mean of its divisors is an integer number (22626240).

Almost surely, 21014450660 is an apocalyptic number.

1014450660 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 1014450660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629089280).

1014450660 is an abundant number, since it is smaller than the sum of its proper divisors (2243727900).

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

1014450660 is a wasteful number, since it uses less digits than its factorization.

1014450660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1014450660 is about 31850.4420691456. The cubic root of 1014450660 is about 1004.7938687660.

Adding to 1014450660 its reverse (660544101), we get a palindrome (1674994761).

The spelling of 1014450660 in words is "one billion, fourteen million, four hundred fifty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 191 228 285 342 380 382 570 573 684 764 855 955 1140 1146 1553 1710 1719 1910 2292 2865 3106 3420 3438 3629 3820 4659 5730 6212 6876 7258 7765 8595 9318 10887 11460 13977 14516 15530 17190 18145 18636 21774 23295 27954 29507 31060 32661 34380 36290 43548 46590 54435 55908 59014 65322 69885 72580 88521 93180 108870 118028 130644 139770 147535 163305 177042 217740 265563 279540 295070 296623 326610 354084 442605 531126 590140 593246 653220 885210 889869 1062252 1186492 1327815 1483115 1770420 1779738 2655630 2669607 2966230 3559476 4449345 5311260 5339214 5635837 5932460 8898690 10678428 11271674 13348035 16907511 17797380 22543348 26696070 28179185 33815022 50722533 53392140 56358370 67630044 84537555 101445066 112716740 169075110 202890132 253612665 338150220 507225330 1014450660