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20909728 = 25717319
BaseRepresentation
bin100111111000…
…0111010100000
31110100022202101
41033300322200
520323102403
62024100144
7342505210
oct117607240
943308671
1020909728
1110891874
127004654
134441528
142ac4240
151c8071d
hex13f0ea0

20909728 has 96 divisors (see below), whose sum is σ = 52617600. Its totient is φ = 7990272.

The previous prime is 20909723. The next prime is 20909741. The reversal of 20909728 is 82790902.

It is not an unprimeable number, because it can be changed into a prime (20909723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1100503 + ... + 1100521.

It is an arithmetic number, because the mean of its divisors is an integer number (548100).

Almost surely, 220909728 is an apocalyptic number.

20909728 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 20909728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26308800).

20909728 is an abundant number, since it is smaller than the sum of its proper divisors (31707872).

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

20909728 is an equidigital number, since it uses as much as digits as its factorization.

20909728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 20909728 is about 4572.7156045396. The cubic root of 20909728 is about 275.4965266475.

The spelling of 20909728 in words is "twenty million, nine hundred nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 68 76 112 119 133 136 152 224 238 266 272 289 304 323 476 532 544 578 608 646 952 1064 1156 1292 1904 2023 2128 2261 2312 2584 3808 4046 4256 4522 4624 4913 5168 5491 8092 9044 9248 9826 10336 10982 16184 18088 19652 21964 32368 34391 36176 38437 39304 43928 64736 68782 72352 76874 78608 87856 93347 137564 153748 157216 175712 186694 275128 307496 373388 550256 614992 653429 746776 1100512 1229984 1306858 1493552 2613716 2987104 5227432 10454864 20909728