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131053076 = 22711463919
BaseRepresentation
bin1111100111110…
…11011000010100
3100010121012000122
413303323120110
5232022144301
621000531112
73150634640
oct763733024
9303535018
10131053076
1167a81130
1237a80a98
13211c6bcb
1413595c20
15b78a81b
hex7cfb614

131053076 has 48 divisors (see below), whose sum is σ = 286863360. Its totient is φ = 50893920.

The previous prime is 131053067. The next prime is 131053147. The reversal of 131053076 is 670350131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142145 + ... + 143063.

It is an arithmetic number, because the mean of its divisors is an integer number (5976320).

Almost surely, 2131053076 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 131053076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143431680).

131053076 is an abundant number, since it is smaller than the sum of its proper divisors (155810284).

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

131053076 is a wasteful number, since it uses less digits than its factorization.

131053076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 131053076 is about 11447.8415432779. The cubic root of 131053076 is about 507.9438888569.

The spelling of 131053076 in words is "one hundred thirty-one million, fifty-three thousand, seventy-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 463 919 926 1838 1852 3241 3676 5093 6433 6482 10109 10186 12866 12964 20218 20372 25732 35651 40436 70763 71302 141526 142604 283052 425497 850994 1701988 2978479 4680467 5956958 9360934 11913916 18721868 32763269 65526538 131053076