Search a number
-
+
131334048 = 2534232203
BaseRepresentation
bin1111101001111…
…11111110100000
3100011010110110000
413310333332200
5232110142143
621010540000
73153215046
oct764777640
9304113400
10131334048
116815323a
1237b97600
1321294a71
141362a396
15b7e3bd3
hex7d3ffa0

131334048 has 120 divisors (see below), whose sum is σ = 403226208. Its totient is φ = 41855616.

The previous prime is 131334043. The next prime is 131334079. The reversal of 131334048 is 840433131.

131334048 is a `hidden beast` number, since 1 + 313 + 340 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131334041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58515 + ... + 60717.

Almost surely, 2131334048 is an apocalyptic number.

131334048 is a gapful number since it is divisible by the number (18) 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 131334048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201613104).

131334048 is an abundant number, since it is smaller than the sum of its proper divisors (271892160).

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

131334048 is a wasteful number, since it uses less digits than its factorization.

131334048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 131334048 is about 11460.1068057850. The cubic root of 131334048 is about 508.3066328237.

Adding to 131334048 its reverse (840433131), we get a palindrome (971767179).

The spelling of 131334048 in words is "one hundred thirty-one million, three hundred thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 368 414 432 552 621 648 736 828 864 1104 1242 1296 1656 1863 2203 2208 2484 2592 3312 3726 4406 4968 6609 6624 7452 8812 9936 13218 14904 17624 19827 19872 26436 29808 35248 39654 50669 52872 59481 59616 70496 79308 101338 105744 118962 152007 158616 178443 202676 211488 237924 304014 317232 356886 405352 456021 475848 608028 634464 713772 810704 912042 951696 1216056 1368063 1427544 1621408 1824084 1903392 2432112 2736126 2855088 3648168 4104189 4864224 5472252 5710176 7296336 8208378 10944504 14592672 16416756 21889008 32833512 43778016 65667024 131334048