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129762001 = 19311511459
BaseRepresentation
bin1111011110000…
…00001011010001
3100001011121000001
413233000023101
5231204341001
620513130001
73133646605
oct757001321
9301147001
10129762001
116727a126
1237559901
1320b64365
141333b505
15b5d3001
hex7bc02d1

129762001 has 16 divisors (see below), whose sum is σ = 142028800. Its totient is φ = 118098000.

The previous prime is 129761999. The next prime is 129762011. The reversal of 129762001 is 100267921.

It is a happy number.

It is a 2-Lehmer number, since φ(129762001) divides (129762001-1)2.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 129762001 - 21 = 129761999 is a prime.

It is a deceptive number, since it divides R129762000.

It is not an unprimeable number, because it can be changed into a prime (129762011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88210 + ... + 89668.

It is an arithmetic number, because the mean of its divisors is an integer number (8876800).

It is a Poulet number, since it divides 2129762000-1.

Almost surely, 2129762001 is an apocalyptic number.

It is an amenable number.

129762001 is a deficient number, since it is larger than the sum of its proper divisors (12266799).

129762001 is a wasteful number, since it uses less digits than its factorization.

129762001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 129762001 is about 11391.3125231468. The cubic root of 129762001 is about 506.2703708513.

The spelling of 129762001 in words is "one hundred twenty-nine million, seven hundred sixty-two thousand, one".

Divisors: 1 19 31 151 589 1459 2869 4681 27721 45229 88939 220309 859351 4185871 6829579 129762001