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20046150 = 2335231479
BaseRepresentation
bin100110001111…
…0000101000110
31101201110011000
41030132011012
520112434100
61553354130
7332250405
oct114360506
941643130
1020046150
1110351a73
126868946
1341cb437
14293b63c
151b5e900
hex131e146

20046150 has 96 divisors (see below), whose sum is σ = 57139200. Its totient is φ = 5162400.

The previous prime is 20046113. The next prime is 20046151. The reversal of 20046150 is 5164002.

It is a happy number.

20046150 is a `hidden beast` number, since 200 + 461 + 5 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20046151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41611 + ... + 42089.

It is an arithmetic number, because the mean of its divisors is an integer number (595200).

Almost surely, 220046150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20046150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28569600).

20046150 is an abundant number, since it is smaller than the sum of its proper divisors (37093050).

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

20046150 is a wasteful number, since it uses less digits than its factorization.

20046150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20046150 is about 4477.2927087694. The cubic root of 20046150 is about 271.6503852304.

The spelling of 20046150 in words is "twenty million, forty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 31 45 50 54 62 75 90 93 135 150 155 186 225 270 279 310 450 465 479 558 675 775 837 930 958 1350 1395 1437 1550 1674 2325 2395 2790 2874 4185 4311 4650 4790 6975 7185 8370 8622 11975 12933 13950 14370 14849 20925 21555 23950 25866 29698 35925 41850 43110 44547 64665 71850 74245 89094 107775 129330 133641 148490 215550 222735 267282 323325 371225 400923 445470 646650 668205 742450 801846 1113675 1336410 2004615 2227350 3341025 4009230 6682050 10023075 20046150