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20383000 = 23531117109
BaseRepresentation
bin100110111000…
…0010100011000
31102100120012221
41031300110120
520204224000
62004513424
7335152441
oct115602430
942316187
1020383000
1110562060
1269ab874
1342b8861
1429c82c8
151bc961a
hex1370518

20383000 has 128 divisors (see below), whose sum is σ = 55598400. Its totient is φ = 6912000.

The previous prime is 20382961. The next prime is 20383009. The reversal of 20383000 is 38302.

20383000 = T125 + T126 + ... + T498.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20383009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186946 + ... + 187054.

Almost surely, 220383000 is an apocalyptic number.

20383000 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 20383000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27799200).

20383000 is an abundant number, since it is smaller than the sum of its proper divisors (35215400).

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

20383000 is a wasteful number, since it uses less digits than its factorization.

20383000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 20383000 is about 4514.7535923902. The cubic root of 20383000 is about 273.1635206715.

The spelling of 20383000 in words is "twenty million, three hundred eighty-three thousand".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 109 110 125 136 170 187 200 218 220 250 275 340 374 425 436 440 500 545 550 680 748 850 872 935 1000 1090 1100 1199 1375 1496 1700 1853 1870 2125 2180 2200 2398 2725 2750 3400 3706 3740 4250 4360 4675 4796 5450 5500 5995 7412 7480 8500 9265 9350 9592 10900 11000 11990 13625 14824 17000 18530 18700 20383 21800 23375 23980 27250 29975 37060 37400 40766 46325 46750 47960 54500 59950 74120 81532 92650 93500 101915 109000 119900 149875 163064 185300 187000 203830 231625 239800 299750 370600 407660 463250 509575 599500 815320 926500 1019150 1199000 1853000 2038300 2547875 4076600 5095750 10191500 20383000