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20372000 = 255311463
BaseRepresentation
bin100110110110…
…1101000100000
31102100000010112
41031231220200
520203401000
62004350452
7335105405
oct115555040
942300115
1020372000
1110554870
1269a5428
1342b384c
1429c42ac
151bc6235
hex136da20

20372000 has 96 divisors (see below), whose sum is σ = 54722304. Its totient is φ = 7392000.

The previous prime is 20371999. The next prime is 20372029. The reversal of 20372000 is 27302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43769 + ... + 44231.

It is an arithmetic number, because the mean of its divisors is an integer number (570024).

Almost surely, 220372000 is an apocalyptic number.

20372000 is a gapful number since it is divisible by the number (20) 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 20372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27361152).

20372000 is an abundant number, since it is smaller than the sum of its proper divisors (34350304).

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

20372000 is a wasteful number, since it uses less digits than its factorization.

20372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 20372000 is about 4513.5351998184. The cubic root of 20372000 is about 273.1143728618.

Adding to 20372000 its reverse (27302), we get a palindrome (20399302).

The spelling of 20372000 in words is "twenty million, three hundred seventy-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 463 500 550 800 880 926 1000 1100 1375 1760 1852 2000 2200 2315 2750 3704 4000 4400 4630 5093 5500 7408 8800 9260 10186 11000 11575 14816 18520 20372 22000 23150 25465 37040 40744 44000 46300 50930 57875 74080 81488 92600 101860 115750 127325 162976 185200 203720 231500 254650 370400 407440 463000 509300 636625 814880 926000 1018600 1273250 1852000 2037200 2546500 4074400 5093000 10186000 20372000