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20149656 = 23323173211
BaseRepresentation
bin100110011011…
…1010110011000
31101220201010120
41030313112120
520124242111
61555513240
7333161232
oct114672630
941821116
1020149656
111041280a
1268b8820
134236597
142967252
151b80406
hex1337598

20149656 has 64 divisors (see below), whose sum is σ = 53118720. Its totient is φ = 6357120.

The previous prime is 20149651. The next prime is 20149669. The reversal of 20149656 is 65694102.

20149656 = T73 + T74 + ... + T494.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20149651) 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 15 ways as a sum of consecutive naturals, for example, 95391 + ... + 95601.

It is an arithmetic number, because the mean of its divisors is an integer number (829980).

Almost surely, 220149656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20149656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26559360).

20149656 is an abundant number, since it is smaller than the sum of its proper divisors (32969064).

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

20149656 is a wasteful number, since it uses less digits than its factorization.

20149656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 20149656 is about 4488.8368203801. The cubic root of 20149656 is about 272.1171280444.

The spelling of 20149656 in words is "twenty million, one hundred forty-nine thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 173 184 211 276 346 422 519 552 633 692 844 1038 1266 1384 1688 2076 2532 3979 4152 4853 5064 7958 9706 11937 14559 15916 19412 23874 29118 31832 36503 38824 47748 58236 73006 95496 109509 116472 146012 219018 292024 438036 839569 876072 1679138 2518707 3358276 5037414 6716552 10074828 20149656