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20738872 = 23711131257
BaseRepresentation
bin100111100011…
…1001100111000
31110000122101101
41033013030320
520302120442
62020301144
7341164120
oct117071470
943018341
1020738872
1110785470
126b417b4
1343b182b
142a7bc80
151c49cb7
hex13c7338

20738872 has 64 divisors (see below), whose sum is σ = 49040640. Its totient is φ = 7987200.

The previous prime is 20738849. The next prime is 20738903. The reversal of 20738872 is 27883702.

It is a congruent number.

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, 80568 + ... + 80824.

It is an arithmetic number, because the mean of its divisors is an integer number (766260).

Almost surely, 220738872 is an apocalyptic number.

20738872 is a gapful number since it is divisible by the number (22) 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 20738872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24520320).

20738872 is an abundant number, since it is smaller than the sum of its proper divisors (28301768).

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

20738872 is a wasteful number, since it uses less digits than its factorization.

20738872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 20738872 is about 4553.9951690796. The cubic root of 20738872 is about 274.7441013437.

The spelling of 20738872 in words is "twenty million, seven hundred thirty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 131 154 257 262 308 514 524 616 917 1028 1048 1441 1799 1834 2056 2827 2882 3598 3668 5654 5764 7196 7336 10087 11308 11528 14392 19789 20174 22616 33667 39578 40348 67334 79156 80696 134668 158312 235669 269336 370337 471338 740674 942676 1481348 1885352 2592359 2962696 5184718 10369436 20738872