Search a number
-
+
1248233136 = 243163159539
BaseRepresentation
bin100101001100110…
…1000011010110000
310012222202210221220
41022121220122300
510024021430021
6323505545040
742634543443
oct11231503260
93188683856
101248233136
11590660037
122aa045180
1316b7b15b7
14bbac765a
15748b6cc6
hex4a6686b0

1248233136 has 40 divisors (see below), whose sum is σ = 3244405440. Its totient is φ = 413522496.

The previous prime is 1248233131. The next prime is 1248233137. The reversal of 1248233136 is 6313328421.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1248233097 and 1248233106.

It is not an unprimeable number, because it can be changed into a prime (1248233131) 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 7 ways as a sum of consecutive naturals, for example, 71946 + ... + 87593.

It is an arithmetic number, because the mean of its divisors is an integer number (81110136).

Almost surely, 21248233136 is an apocalyptic number.

1248233136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1248233136 is an abundant number, since it is smaller than the sum of its proper divisors (1996172304).

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

1248233136 is a wasteful number, since it uses less digits than its factorization.

1248233136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159713 (or 159707 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 1248233136 is about 35330.3429929572. The cubic root of 1248233136 is about 1076.7095599449.

The spelling of 1248233136 in words is "one billion, two hundred forty-eight million, two hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 163 326 489 652 978 1304 1956 2608 3912 7824 159539 319078 478617 638156 957234 1276312 1914468 2552624 3828936 7657872 26004857 52009714 78014571 104019428 156029142 208038856 312058284 416077712 624116568 1248233136