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1468865520 = 243252637757
BaseRepresentation
bin101011110001101…
…0001101111110000
310210100221002200200
41113203101233300
511002012144040
6401430515200
751254102523
oct12743215760
93710832620
101468865520
11694155451
1234bb05b00
131a5410ac5
14dd11abba
1588e49630
hex578d1bf0

1468865520 has 120 divisors (see below), whose sum is σ = 4952334816. Its totient is φ = 390157824.

The previous prime is 1468865513. The next prime is 1468865521. The reversal of 1468865520 is 255688641.

1468865520 is a `hidden beast` number, since 1 + 4 + 68 + 8 + 65 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468865521) 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 23 ways as a sum of consecutive naturals, for example, 185482 + ... + 193238.

Almost surely, 21468865520 is an apocalyptic number.

1468865520 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 1468865520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476167408).

1468865520 is an abundant number, since it is smaller than the sum of its proper divisors (3483469296).

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

1468865520 is a wasteful number, since it uses less digits than its factorization.

1468865520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8039 (or 8030 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 1468865520 is about 38325.7814010360. The cubic root of 1468865520 is about 1136.7387866089.

It can be divided in two parts, 14688 and 65520, that added together give a palindrome (80208).

The spelling of 1468865520 in words is "one billion, four hundred sixty-eight million, eight hundred sixty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 263 360 526 720 789 1052 1315 1578 2104 2367 2630 3156 3945 4208 4734 5260 6312 7757 7890 9468 10520 11835 12624 15514 15780 18936 21040 23271 23670 31028 31560 37872 38785 46542 47340 62056 63120 69813 77570 93084 94680 116355 124112 139626 155140 186168 189360 232710 279252 310280 349065 372336 465420 558504 620560 698130 930840 1117008 1396260 1861680 2040091 2792520 4080182 5585040 6120273 8160364 10200455 12240546 16320728 18360819 20400910 24481092 30601365 32641456 36721638 40801820 48962184 61202730 73443276 81603640 91804095 97924368 122405460 146886552 163207280 183608190 244810920 293773104 367216380 489621840 734432760 1468865520