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382697107 = 13199715973
BaseRepresentation
bin10110110011110…
…111111010010011
3222200010000201221
4112303313322103
51240432301412
6101550305511
712324605002
oct2663677223
9880100657
10382697107
11187028001
12a81b8297
13613939c0
1438b7cc39
15238e6b07
hex16cf7e93

382697107 has 16 divisors (see below), whose sum is σ = 438326560. Its totient is φ = 331195392.

The previous prime is 382697059. The next prime is 382697123. The reversal of 382697107 is 701796283.

It is a happy number.

It is a 10-Lehmer number, since φ(382697107) divides (382697107-1)10.

It is a cyclic number.

It is not a de Polignac number, because 382697107 - 211 = 382695059 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (382697197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15973 + ... + 31945.

It is an arithmetic number, because the mean of its divisors is an integer number (27395410).

Almost surely, 2382697107 is an apocalyptic number.

382697107 is the 15973-rd pentagonal number.

382697107 is a deficient number, since it is larger than the sum of its proper divisors (55629453).

382697107 is a wasteful number, since it uses less digits than its factorization.

382697107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16102.

The product of its (nonzero) digits is 127008, while the sum is 43.

The square root of 382697107 is about 19562.6457055277. The cubic root of 382697107 is about 726.0252522793.

The spelling of 382697107 in words is "three hundred eighty-two million, six hundred ninety-seven thousand, one hundred seven".

Divisors: 1 13 19 97 247 1261 1843 15973 23959 207649 303487 1549381 3945331 20141953 29438239 382697107