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1468081332 = 2232793891327
BaseRepresentation
bin101011110000001…
…0010010010110100
310210022110020222200
41113200102102310
511001312100312
6401402024500
751244325334
oct12740222264
93708406880
101468081332
1169376a263
1234b7a8130
131a51c7ba3
14dcd950c4
1588d420dc
hex578124b4

1468081332 has 72 divisors (see below), whose sum is σ = 3770457600. Its totient is φ = 481560768.

The previous prime is 1468081267. The next prime is 1468081339. The reversal of 1468081332 is 2331808641.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468081339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1105653 + ... + 1106979.

Almost surely, 21468081332 is an apocalyptic number.

1468081332 is a gapful number since it is divisible by the number (12) 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 1468081332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885228800).

1468081332 is an abundant number, since it is smaller than the sum of its proper divisors (2302376268).

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

1468081332 is a wasteful number, since it uses less digits than its factorization.

1468081332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1468081332 is about 38315.5494805960. The cubic root of 1468081332 is about 1136.5364591244.

Adding to 1468081332 its reverse (2331808641), we get a palindrome (3799889973).

The spelling of 1468081332 in words is "one billion, four hundred sixty-eight million, eighty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 389 474 711 778 948 1167 1327 1422 1556 2334 2654 2844 3501 3981 4668 5308 7002 7962 11943 14004 15924 23886 30731 47772 61462 92193 104833 122924 184386 209666 276579 314499 368772 419332 516203 553158 628998 943497 1032406 1106316 1257996 1548609 1886994 2064812 3097218 3773988 4645827 6194436 9291654 18583308 40780037 81560074 122340111 163120148 244680222 367020333 489360444 734040666 1468081332