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20358114 = 237716827
BaseRepresentation
bin100110110101…
…0001111100010
31102022022002020
41031222033202
520202424424
62004202310
7335020050
oct115521742
942268066
1020358114
1110545397
126999396
1342aa42a
1429bd1d0
151bc2079
hex136a3e2

20358114 has 32 divisors (see below), whose sum is σ = 47195136. Its totient is φ = 5733840.

The previous prime is 20358089. The next prime is 20358131. The reversal of 20358114 is 41185302.

It is a super-3 number, since 3×203581143 (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432 + ... + 6395.

It is an arithmetic number, because the mean of its divisors is an integer number (1474848).

Almost surely, 220358114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20358114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23597568).

20358114 is an abundant number, since it is smaller than the sum of its proper divisors (26837022).

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

20358114 is a wasteful number, since it uses less digits than its factorization.

20358114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6910.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 20358114 is about 4511.9966755307. The cubic root of 20358114 is about 273.0523051842.

The spelling of 20358114 in words is "twenty million, three hundred fifty-eight thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 426 497 994 1491 2982 6827 13654 20481 40962 47789 95578 143367 286734 484717 969434 1454151 2908302 3393019 6786038 10179057 20358114