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132947199 = 327111923439
BaseRepresentation
bin1111110110010…
…01110011111111
3100021011102021100
413323021303333
5233013302244
621105304143
73203014110
oct773116377
9307142240
10132947199
1169055220
1238635053
132170b0a8
141392a207
15ba11b69
hex7ec9cff

132947199 has 96 divisors (see below), whose sum is σ = 263577600. Its totient is φ = 62441280.

The previous prime is 132947173. The next prime is 132947207. The reversal of 132947199 is 991749231.

It is not a de Polignac number, because 132947199 - 25 = 132947167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132947149) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 302622 + ... + 303060.

It is an arithmetic number, because the mean of its divisors is an integer number (2745600).

Almost surely, 2132947199 is an apocalyptic number.

132947199 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

132947199 is a deficient number, since it is larger than the sum of its proper divisors (130630401).

132947199 is a wasteful number, since it uses less digits than its factorization.

132947199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 502 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 132947199 is about 11530.2731537462. The cubic root of 132947199 is about 510.3793141231.

The spelling of 132947199 in words is "one hundred thirty-two million, nine hundred forty-seven thousand, one hundred ninety-nine".

Divisors: 1 3 7 9 11 19 21 23 33 57 63 69 77 99 133 161 171 207 209 231 253 399 437 439 483 627 693 759 1197 1311 1317 1449 1463 1771 1881 2277 3059 3073 3933 3951 4389 4807 4829 5313 8341 9177 9219 10097 13167 14421 14487 15939 25023 27531 27657 30291 33649 33803 43263 43461 58387 70679 75069 90873 91751 100947 101409 111067 175161 191843 212037 275253 302841 304227 333201 525483 575529 636111 642257 777469 825759 999603 1342901 1726587 1926771 2110273 2332407 4028703 5780313 6330819 6997221 12086109 14771911 18992457 44315733 132947199