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127664461 = 714214271
BaseRepresentation
bin1111001110000…
…00000101001101
322220020000201101
413213000011031
5230140230321
620400143101
73110062411
oct747000515
9286200641
10127664461
1166077221
1236907a91
13205ab702
1412d52d41
15b31b791
hex79c014d

127664461 has 8 divisors (see below), whose sum is σ = 129800448. Its totient is φ = 125538000.

The previous prime is 127664437. The next prime is 127664491. The reversal of 127664461 is 164466721.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(127664461) divides (127664461-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 127664461 - 25 = 127664429 is a prime.

It is a deceptive number, since it divides R127664460.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 127664461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127664491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27756 + ... + 32026.

It is an arithmetic number, because the mean of its divisors is an integer number (16225056).

It is a Poulet number, since it divides 2127664460-1.

Almost surely, 2127664461 is an apocalyptic number.

127664461 is the 6040-th centered heptagonal number.

It is an amenable number.

127664461 is a deficient number, since it is larger than the sum of its proper divisors (2135987).

127664461 is an equidigital number, since it uses as much as digits as its factorization.

127664461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4763.

The product of its digits is 48384, while the sum is 37.

The square root of 127664461 is about 11298.8698992421. The cubic root of 127664461 is about 503.5276672610.

The spelling of 127664461 in words is "one hundred twenty-seven million, six hundred sixty-four thousand, four hundred sixty-one".

Divisors: 1 71 421 4271 29891 303241 1798091 127664461