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20149668 = 22337112423
BaseRepresentation
bin100110011011…
…1010110100100
31101220201011000
41030313112210
520124242133
61555513300
7333161250
oct114672644
941821130
1020149668
1110412820
1268b8830
1342365a6
142967260
151b80413
hex13375a4

20149668 has 96 divisors (see below), whose sum is σ = 65157120. Its totient is φ = 5231520.

The previous prime is 20149651. The next prime is 20149669. The reversal of 20149668 is 86694102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20149669) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7105 + ... + 9527.

It is an arithmetic number, because the mean of its divisors is an integer number (678720).

Almost surely, 220149668 is an apocalyptic number.

20149668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20149668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32578560).

20149668 is an abundant number, since it is smaller than the sum of its proper divisors (45007452).

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

20149668 is a wasteful number, since it uses less digits than its factorization.

20149668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 20149668 is about 4488.8381570291. The cubic root of 20149668 is about 272.1171820636.

The spelling of 20149668 in words is "twenty million, one hundred forty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2423 2772 4158 4846 7269 8316 9692 14538 16961 21807 26653 29076 33922 43614 50883 53306 65421 67844 79959 87228 101766 106612 130842 152649 159918 186571 203532 239877 261684 305298 319836 373142 457947 479754 559713 610596 719631 746284 915894 959508 1119426 1439262 1679139 1831788 2238852 2878524 3358278 5037417 6716556 10074834 20149668