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132949917 = 37313753
BaseRepresentation
bin1111110110010…
…10011110011101
3100021011120000000
413323022132131
5233013344132
621105324513
73203025042
oct773123635
9307146000
10132949917
1169057271
1238636739
132170c3b9
141392b1c9
15ba1287c
hex7eca79d

132949917 has 64 divisors (see below), whose sum is σ = 215377920. Its totient is φ = 81881280.

The previous prime is 132949879. The next prime is 132949933. The reversal of 132949917 is 719949231.

It is not a de Polignac number, because 132949917 - 26 = 132949853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132949967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2508463 + ... + 2508515.

It is an arithmetic number, because the mean of its divisors is an integer number (3365280).

Almost surely, 2132949917 is an apocalyptic number.

It is an amenable number.

132949917 is a deficient number, since it is larger than the sum of its proper divisors (82428003).

132949917 is an frugal number, since it uses more digits than its factorization.

132949917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

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

The square root of 132949917 is about 11530.3910167869. The cubic root of 132949917 is about 510.3827921994.

The spelling of 132949917 in words is "one hundred thirty-two million, nine hundred forty-nine thousand, nine hundred seventeen".

Divisors: 1 3 9 27 31 37 53 81 93 111 159 243 279 333 477 729 837 999 1147 1431 1643 1961 2187 2511 2997 3441 4293 4929 5883 7533 8991 10323 12879 14787 17649 22599 26973 30969 38637 44361 52947 60791 67797 80919 92907 115911 133083 158841 182373 278721 399249 476523 547119 836163 1197747 1429569 1641357 2508489 3593241 4288707 4924071 14772213 44316639 132949917