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132209714 = 271321719173
BaseRepresentation
bin1111110000101…
…01110000110010
3100012202221122002
413320111300302
5232321202324
621041414002
73163523030
oct770256062
9305687562
10132209714
11686a112a
123833a302
1321510500
14137b7550
15b9183ae
hex7e15c32

132209714 has 96 divisors (see below), whose sum is σ = 275114880. Its totient is φ = 46365696.

The previous prime is 132209677. The next prime is 132209717. The reversal of 132209714 is 417902231.

It is not an unprimeable number, because it can be changed into a prime (132209717) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 764132 + ... + 764304.

It is an arithmetic number, because the mean of its divisors is an integer number (2865780).

Almost surely, 2132209714 is an apocalyptic number.

132209714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132209714 is an abundant number, since it is smaller than the sum of its proper divisors (142905166).

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

132209714 is a wasteful number, since it uses less digits than its factorization.

132209714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 132209714 is about 11498.2483013718. The cubic root of 132209714 is about 509.4338379548.

The spelling of 132209714 in words is "one hundred thirty-two million, two hundred nine thousand, seven hundred fourteen".

Divisors: 1 2 7 13 14 17 19 26 34 38 91 119 133 169 173 182 221 238 247 266 323 338 346 442 494 646 1183 1211 1547 1729 2249 2261 2366 2422 2873 2941 3094 3211 3287 3458 4199 4498 4522 5746 5882 6422 6574 8398 15743 20111 20587 22477 23009 29237 29393 31486 38233 40222 41174 42731 44954 46018 54587 55879 58474 58786 76466 85462 109174 111758 204659 267631 299117 382109 391153 409318 497029 535262 555503 598234 726427 764218 782306 994058 1111006 1452854 3479203 3888521 5084989 6958406 7777042 9443551 10169978 18887102 66104857 132209714