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131297216 = 2673157179
BaseRepresentation
bin1111101001101…
…10111111000000
3100011001120220212
413310312333000
5232103002331
621010053252
73153002501
oct764667700
9304046825
10131297216
11681285a6
1237b7a228
132128107b
141361aba8
15b7d7d2b
hex7d36fc0

131297216 has 56 divisors (see below), whose sum is σ = 267279120. Its totient is φ = 63977472.

The previous prime is 131297213. The next prime is 131297233. The reversal of 131297216 is 612792131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131297213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 733415 + ... + 733593.

Almost surely, 2131297216 is an apocalyptic number.

131297216 is a gapful number since it is divisible by the number (16) 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 131297216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133639560).

131297216 is an abundant number, since it is smaller than the sum of its proper divisors (135981904).

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

131297216 is a wasteful number, since it uses less digits than its factorization.

131297216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its digits is 4536, while the sum is 32.

The square root of 131297216 is about 11458.4997272767. The cubic root of 131297216 is about 508.2591110003.

The spelling of 131297216 in words is "one hundred thirty-one million, two hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 73 146 157 179 292 314 358 584 628 716 1168 1256 1432 2336 2512 2864 4672 5024 5728 10048 11456 11461 13067 22922 26134 28103 45844 52268 56206 91688 104536 112412 183376 209072 224824 366752 418144 449648 733504 836288 899296 1798592 2051519 4103038 8206076 16412152 32824304 65648608 131297216