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131014048 = 2511467797
BaseRepresentation
bin1111100111100…
…01110110100000
3100010112012111011
413303301312200
5232014422143
621000030304
73150413104
oct763616640
9303465434
10131014048
1167a54880
1237a62394
13211b2209
1413585904
15b77de9d
hex7cf1da0

131014048 has 48 divisors (see below), whose sum is σ = 282338784. Its totient is φ = 59349760.

The previous prime is 131014027. The next prime is 131014057. The reversal of 131014048 is 840410131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163986 + ... + 164782.

It is an arithmetic number, because the mean of its divisors is an integer number (5882058).

Almost surely, 2131014048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131014048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141169392).

131014048 is an abundant number, since it is smaller than the sum of its proper divisors (151324736).

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

131014048 is a wasteful number, since it uses less digits than its factorization.

131014048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 131014048 is about 11446.1368155374. The cubic root of 131014048 is about 507.8934614451.

Adding to 131014048 its reverse (840410131), we get a palindrome (971424179).

The spelling of 131014048 in words is "one hundred thirty-one million, fourteen thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 467 797 934 1594 1868 3188 3736 5137 6376 7472 8767 10274 12752 14944 17534 20548 25504 35068 41096 70136 82192 140272 164384 280544 372199 744398 1488796 2977592 4094189 5955184 8188378 11910368 16376756 32753512 65507024 131014048