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30257106 = 23111134057
BaseRepresentation
bin111001101101…
…0111111010010
32002221012221120
41303122333102
530221211411
63000303110
7515116065
oct163327722
962835846
1030257106
1116096680
12a171a96
136365019
1440388dc
1529ca106
hex1cdafd2

30257106 has 32 divisors (see below), whose sum is σ = 66616128. Its totient is φ = 9085440.

The previous prime is 30257089. The next prime is 30257107. The reversal of 30257106 is 60175203.

It is not an unprimeable number, because it can be changed into a prime (30257107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5430 + ... + 9486.

It is an arithmetic number, because the mean of its divisors is an integer number (2081754).

Almost surely, 230257106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30257106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33308064).

30257106 is an abundant number, since it is smaller than the sum of its proper divisors (36359022).

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

30257106 is a wasteful number, since it uses less digits than its factorization.

30257106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4186.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 30257106 is about 5500.6459620666. The cubic root of 30257106 is about 311.6083802785.

The spelling of 30257106 in words is "thirty million, two hundred fifty-seven thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 66 113 226 339 678 1243 2486 3729 4057 7458 8114 12171 24342 44627 89254 133881 267762 458441 916882 1375323 2750646 5042851 10085702 15128553 30257106