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4120357 = 37193577
BaseRepresentation
bin1111101101111100100101
321202100001211
433231330211
52023322412
6224151421
750010463
oct17557445
97670054
104120357
11236475a
121468571
13b135a7
14793833
15565ca7
hex3edf25

4120357 has 8 divisors (see below), whose sum is σ = 4261016. Its totient is φ = 3981312.

The previous prime is 4120331. The next prime is 4120393. The reversal of 4120357 is 7530214.

It can be written as a sum of positive squares in 4 ways, for example, as 2268036 + 1852321 = 1506^2 + 1361^2 .

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

It is a 7-Lehmer number, since φ(4120357) divides (4120357-1)7.

It is a cyclic number.

It is not a de Polignac number, because 4120357 - 27 = 4120229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120957) 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, 6853 + ... + 7429.

It is an arithmetic number, because the mean of its divisors is an integer number (532627).

Almost surely, 24120357 is an apocalyptic number.

It is an amenable number.

4120357 is a deficient number, since it is larger than the sum of its proper divisors (140659).

4120357 is a wasteful number, since it uses less digits than its factorization.

4120357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807.

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 4120357 is about 2029.8662517516. The cubic root of 4120357 is about 160.3165218615.

The spelling of 4120357 in words is "four million, one hundred twenty thousand, three hundred fifty-seven".

Divisors: 1 37 193 577 7141 21349 111361 4120357