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20365312 = 21411113
BaseRepresentation
bin100110110110…
…0000000000000
31102022122221211
41031230000000
520203142222
62004255504
7335050042
oct115540000
942278854
1020365312
111054a840
1269a1594
1342b07a6
1429c1a92
151bc4277
hex136c000

20365312 has 60 divisors (see below), whose sum is σ = 44825256. Its totient is φ = 9175040.

The previous prime is 20365297. The next prime is 20365313. The reversal of 20365312 is 21356302.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (20365313) 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 3 ways as a sum of consecutive naturals, for example, 180168 + ... + 180280.

Almost surely, 220365312 is an apocalyptic number.

20365312 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 20365312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22412628).

20365312 is an abundant number, since it is smaller than the sum of its proper divisors (24459944).

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

20365312 is an equidigital number, since it uses as much as digits as its factorization.

20365312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 20365312 is about 4512.7942563339. The cubic root of 20365312 is about 273.0844823446.

The spelling of 20365312 in words is "twenty million, three hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 128 176 226 256 352 452 512 704 904 1024 1243 1408 1808 2048 2486 2816 3616 4096 4972 5632 7232 8192 9944 11264 14464 16384 19888 22528 28928 39776 45056 57856 79552 90112 115712 159104 180224 231424 318208 462848 636416 925696 1272832 1851392 2545664 5091328 10182656 20365312