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4000107 = 33736037
BaseRepresentation
bin1111010000100101101011
321112020010010
433100211223
52011000412
6221423003
746000056
oct17204553
97466103
104000107
112292381
12140aa63
13aa0937
14761a9d
1554033c
hex3d096b

4000107 has 8 divisors (see below), whose sum is σ = 5477776. Its totient is φ = 2594592.

The previous prime is 4000093. The next prime is 4000133. The reversal of 4000107 is 7010004.

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

It is not a de Polignac number, because 4000107 - 26 = 4000043 is a prime.

It is a super-2 number, since 2×40001072 = 32001712022898, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4000092 and 4000101.

It is not an unprimeable number, because it can be changed into a prime (4000907) 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, 17908 + ... + 18129.

It is an arithmetic number, because the mean of its divisors is an integer number (684722).

Almost surely, 24000107 is an apocalyptic number.

4000107 is a deficient number, since it is larger than the sum of its proper divisors (1477669).

4000107 is a wasteful number, since it uses less digits than its factorization.

4000107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36077.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 4000107 is about 2000.0267498211. The cubic root of 4000107 is about 158.7415206168.

The spelling of 4000107 in words is "four million, one hundred seven", and thus it is an aban number.

Divisors: 1 3 37 111 36037 108111 1333369 4000107