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1320673872 = 243724871153
BaseRepresentation
bin100111010110111…
…1110001001010000
310102001002011222010
41032231332021100
510201043030442
6335014342520
744504354100
oct11655761120
93361064863
101320673872
11618538911
1230a35aa40
131807c603b
14c7583200
157ae25b9c
hex4eb7e250

1320673872 has 120 divisors (see below), whose sum is σ = 3980358336. Its totient is φ = 376233984.

The previous prime is 1320673843. The next prime is 1320673933. The reversal of 1320673872 is 2783760231.

1320673872 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1320673872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1144848 + ... + 1146000.

Almost surely, 21320673872 is an apocalyptic number.

1320673872 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 1320673872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990179168).

1320673872 is an abundant number, since it is smaller than the sum of its proper divisors (2659684464).

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

1320673872 is a wasteful number, since it uses less digits than its factorization.

1320673872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 1320673872 is about 36341.0769240539. The cubic root of 1320673872 is about 1097.1479483038.

It can be divided in two parts, 13206 and 73872, that added together give a palindrome (87078).

The spelling of 1320673872 in words is "one billion, three hundred twenty million, six hundred seventy-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 487 588 784 974 1153 1176 1461 1948 2306 2352 2922 3409 3459 3896 4612 5844 6818 6918 7792 8071 9224 10227 11688 13636 13836 16142 18448 20454 23376 23863 24213 27272 27672 32284 40908 47726 48426 54544 55344 56497 64568 71589 81816 95452 96852 112994 129136 143178 163632 169491 190904 193704 225988 286356 338982 381808 387408 451976 561511 572712 677964 903952 1123022 1145424 1355928 1684533 2246044 2711856 3369066 3930577 4492088 6738132 7861154 8984176 11791731 13476264 15722308 23583462 26952528 27514039 31444616 47166924 55028078 62889232 82542117 94333848 110056156 165084234 188667696 220112312 330168468 440224624 660336936 1320673872