Search a number
-
+
131983032 = 23367211389
BaseRepresentation
bin1111101110111…
…10011010111000
3100012100102200110
413313132122320
5232241424112
621032504320
73161560116
oct767363270
9305312613
10131983032
1168556895
123824b0a0
132146128c
1413758ab6
15b8c113c
hex7dde6b8

131983032 has 64 divisors (see below), whose sum is σ = 337334400. Its totient is φ = 43021440.

The previous prime is 131983013. The next prime is 131983037. The reversal of 131983032 is 230389131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131983037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339094 + ... + 339482.

It is an arithmetic number, because the mean of its divisors is an integer number (5270850).

Almost surely, 2131983032 is an apocalyptic number.

131983032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131983032 is an abundant number, since it is smaller than the sum of its proper divisors (205351368).

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

131983032 is a wasteful number, since it uses less digits than its factorization.

131983032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 131983032 is about 11488.3868319273. The cubic root of 131983032 is about 509.1425191107.

The spelling of 131983032 in words is "one hundred thirty-one million, nine hundred eighty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 211 268 389 402 422 536 633 778 804 844 1167 1266 1556 1608 1688 2334 2532 3112 4668 5064 9336 14137 26063 28274 42411 52126 56548 78189 82079 84822 104252 113096 156378 164158 169644 208504 246237 312756 328316 339288 492474 625512 656632 984948 1969896 5499293 10998586 16497879 21997172 32995758 43994344 65991516 131983032