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20385792 = 21232779
BaseRepresentation
bin100110111000…
…1000000000000
31102100201001100
41031301000000
520204321132
62004534400
7335163540
oct115610000
942321040
1020385792
1110564169
1269b1400
1342b9bcb
1429c9320
151bca37c
hex1371000

20385792 has 156 divisors (see below), whose sum is σ = 68149120. Its totient is φ = 5750784.

The previous prime is 20385791. The next prime is 20385823. The reversal of 20385792 is 29758302.

It is a happy number.

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 (20385791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258009 + ... + 258087.

Almost surely, 220385792 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 20385792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34074560).

20385792 is an abundant number, since it is smaller than the sum of its proper divisors (47763328).

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

20385792 is an equidigital number, since it uses as much as digits as its factorization.

20385792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 20385792 is about 4515.0627902611. The cubic root of 20385792 is about 273.1759924655.

The spelling of 20385792 in words is "twenty million, three hundred eighty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 79 84 96 112 126 128 144 158 168 192 224 237 252 256 288 316 336 384 448 474 504 512 553 576 632 672 711 768 896 948 1008 1024 1106 1152 1264 1344 1422 1536 1659 1792 1896 2016 2048 2212 2304 2528 2688 2844 3072 3318 3584 3792 4032 4096 4424 4608 4977 5056 5376 5688 6144 6636 7168 7584 8064 8848 9216 9954 10112 10752 11376 12288 13272 14336 15168 16128 17696 18432 19908 20224 21504 22752 26544 28672 30336 32256 35392 36864 39816 40448 43008 45504 53088 60672 64512 70784 79632 80896 86016 91008 106176 121344 129024 141568 159264 161792 182016 212352 242688 258048 283136 318528 323584 364032 424704 485376 566272 637056 728064 849408 970752 1132544 1274112 1456128 1698816 2265088 2548224 2912256 3397632 5096448 6795264 10192896 20385792