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132996409 = 7132196197
BaseRepresentation
bin1111110110101…
…01110100111001
3100021020220202221
413323111310321
5233021341114
621110324041
73203310430
oct773256471
9307226687
10132996409
1169089197
1238659621
1321727600
1413940117
15ba21524
hex7ed5d39

132996409 has 48 divisors (see below), whose sum is σ = 177905280. Its totient is φ = 97044480.

The previous prime is 132996403. The next prime is 132996433. The reversal of 132996409 is 904699231.

It is not a de Polignac number, because 132996409 - 23 = 132996401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132996401) 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, 1371049 + ... + 1371145.

It is an arithmetic number, because the mean of its divisors is an integer number (3706360).

Almost surely, 2132996409 is an apocalyptic number.

132996409 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

132996409 is a deficient number, since it is larger than the sum of its proper divisors (44908871).

132996409 is a wasteful number, since it uses less digits than its factorization.

132996409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The square root of 132996409 is about 11532.4069040248. The cubic root of 132996409 is about 510.4422781369.

The spelling of 132996409 in words is "one hundred thirty-two million, nine hundred ninety-six thousand, four hundred nine".

Divisors: 1 7 13 19 61 91 97 133 169 247 427 679 793 1159 1183 1261 1729 1843 3211 5551 5917 8113 8827 10309 12901 15067 16393 22477 23959 41419 72163 76921 105469 112423 114751 167713 195871 311467 538447 786961 999973 1371097 1461499 2180269 6999811 10230493 18999487 132996409