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4700106 = 23519509
BaseRepresentation
bin10001111011011111001010
322211210100000
4101323133022
52200400411
6244423430
754643635
oct21733712
98753300
104700106
112720294
1216a7b76
13c87438
148a4c1c
1562c956
hex47b7ca

4700106 has 48 divisors (see below), whose sum is σ = 11138400. Its totient is φ = 1481328.

The previous prime is 4700099. The next prime is 4700107. The reversal of 4700106 is 6010074.

4700106 is nontrivially palindromic in base 8.

It is a super-2 number, since 2×47001062 = 44181992822472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (4700107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8980 + ... + 9488.

It is an arithmetic number, because the mean of its divisors is an integer number (232050).

Almost surely, 24700106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4700106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569200).

4700106 is an abundant number, since it is smaller than the sum of its proper divisors (6438294).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4700106 is a wasteful number, since it uses less digits than its factorization.

4700106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 4700106 is about 2167.9727858071. The cubic root of 4700106 is about 167.5081276222.

The spelling of 4700106 in words is "four million, seven hundred thousand, one hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 509 513 1018 1026 1527 1539 3054 3078 4581 4617 9162 9234 9671 13743 19342 27486 29013 41229 58026 82458 87039 123687 174078 247374 261117 522234 783351 1566702 2350053 4700106