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131150048 = 2523732441
BaseRepresentation
bin1111101000100…
…11000011100000
3100010210010001012
413310103003200
5232033300143
621003000052
73151520441
oct764230340
9303703035
10131150048
1168037a77
1237b09028
132122c0a3
14135bd2c8
15b7a9418
hex7d130e0

131150048 has 48 divisors (see below), whose sum is σ = 273230496. Its totient is φ = 61839360.

The previous prime is 131150039. The next prime is 131150051. The reversal of 131150048 is 840051131.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

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, 52508 + ... + 54948.

It is an arithmetic number, because the mean of its divisors is an integer number (5692302).

Almost surely, 2131150048 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 131150048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136615248).

131150048 is an abundant number, since it is smaller than the sum of its proper divisors (142080448).

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

131150048 is a wasteful number, since it uses less digits than its factorization.

131150048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 131150048 is about 11452.0761436519. The cubic root of 131150048 is about 508.0691413940.

The spelling of 131150048 in words is "one hundred thirty-one million, one hundred fifty thousand, forty-eight".

Divisors: 1 2 4 8 16 23 32 46 73 92 146 184 292 368 584 736 1168 1679 2336 2441 3358 4882 6716 9764 13432 19528 26864 39056 53728 56143 78112 112286 178193 224572 356386 449144 712772 898288 1425544 1796576 2851088 4098439 5702176 8196878 16393756 32787512 65575024 131150048