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20947392 = 263241887
BaseRepresentation
bin100111111101…
…0000111000000
31110102020102100
41033322013000
520330304032
62024550400
7343023054
oct117720700
943366370
1020947392
11109080a4
127022400
13445570b
142ad3c64
151c8b97c
hex13fa1c0

20947392 has 84 divisors (see below), whose sum is σ = 61575696. Its totient is φ = 6804480.

The previous prime is 20947391. The next prime is 20947393. The reversal of 20947392 is 29374902.

It is an interprime number because it is at equal distance from previous prime (20947391) and next prime (20947393).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20947391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23173 + ... + 24059.

It is an arithmetic number, because the mean of its divisors is an integer number (733044).

Almost surely, 220947392 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 20947392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30787848).

20947392 is an abundant number, since it is smaller than the sum of its proper divisors (40628304).

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

20947392 is a wasteful number, since it uses less digits than its factorization.

20947392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 20947392 is about 4576.8320921790. The cubic root of 20947392 is about 275.6618416824.

The spelling of 20947392 in words is "twenty million, nine hundred forty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 887 984 1312 1476 1774 1968 2624 2661 2952 3548 3936 5322 5904 7096 7872 7983 10644 11808 14192 15966 21288 23616 28384 31932 36367 42576 56768 63864 72734 85152 109101 127728 145468 170304 218202 255456 290936 327303 436404 510912 581872 654606 872808 1163744 1309212 1745616 2327488 2618424 3491232 5236848 6982464 10473696 20947392