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1316923920 = 2438513193
BaseRepresentation
bin100111001111110…
…1010101000010000
310101210000200000000
41032133222220100
510144113031140
6334402130000
744430445224
oct11637525020
93353020000
101316923920
11616407484
12309050900
1317cab2230
14c6c88784
157a934a30
hex4e7eaa10

1316923920 has 360 divisors, whose sum is σ = 4971437016. Its totient is φ = 322486272.

The previous prime is 1316923873. The next prime is 1316923961. The reversal of 1316923920 is 293296131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 104976 + 1316818944 = 324^2 + 36288^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×13169239202 = 3468577222136332800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6823344 + ... + 6823536.

Almost surely, 21316923920 is an apocalyptic number.

1316923920 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 1316923920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485718508).

1316923920 is an abundant number, since it is smaller than the sum of its proper divisors (3654513096).

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

1316923920 is an equidigital number, since it uses as much as digits as its factorization.

1316923920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 1316923920 is about 36289.4463997455. The cubic root of 1316923920 is about 1096.1085414730.

The spelling of 1316923920 in words is "one billion, three hundred sixteen million, nine hundred twenty-three thousand, nine hundred twenty".