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1326138480 = 2436522739
BaseRepresentation
bin100111100001011…
…0100010001110000
310102102100211000000
41033002310101300
510203442412410
6335331430000
744601663642
oct11702642160
93372324000
101326138480
11620630517
12310155300
1318198a434
14c81a6892
157b654dc0
hex4f0b4470

1326138480 has 140 divisors (see below), whose sum is σ = 4622996520. Its totient is φ = 353621376.

The previous prime is 1326138389. The next prime is 1326138487. The reversal of 1326138480 is 848316231.

1326138480 is a `hidden beast` number, since 1 + 32 + 613 + 8 + 4 + 8 + 0 = 666.

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 (1326138487) 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 27 ways as a sum of consecutive naturals, for example, 46951 + ... + 69689.

Almost surely, 21326138480 is an apocalyptic number.

1326138480 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 1326138480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311498260).

1326138480 is an abundant number, since it is smaller than the sum of its proper divisors (3296858040).

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

1326138480 is an equidigital number, since it uses as much as digits as its factorization.

1326138480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22770 (or 22749 counting only the distinct ones).

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

The square root of 1326138480 is about 36416.1843141206. The cubic root of 1326138480 is about 1098.6591044098.

The spelling of 1326138480 in words is "one billion, three hundred twenty-six million, one hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2430 2916 3240 3645 3888 4860 5832 6480 7290 9720 11664 14580 19440 22739 29160 45478 58320 68217 90956 113695 136434 181912 204651 227390 272868 341085 363824 409302 454780 545736 613953 682170 818604 909560 1023255 1091472 1227906 1364340 1637208 1819120 1841859 2046510 2455812 2728680 3069765 3274416 3683718 4093020 4911624 5457360 5525577 6139530 7367436 8186040 9209295 9823248 11051154 12279060 14734872 16372080 16576731 18418590 22102308 24558120 27627885 29469744 33153462 36837180 44204616 49116240 55255770 66306924 73674360 82883655 88409232 110511540 132613848 147348720 165767310 221023080 265227696 331534620 442046160 663069240 1326138480