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20023030320 = 2435795212027
BaseRepresentation
bin10010101001011101…
…110011001000110000
31220200102212022220120
4102221131303020300
5312001343432240
613110511010240
71306121643456
oct225135631060
956612768816
1020023030320
11854552a047
123a69809980
131b713ac447
14d7d39c9d6
157c2cb9ad0
hex4a9773230

20023030320 has 160 divisors (see below), whose sum is σ = 63008824320. Its totient is φ = 5259171840.

The previous prime is 20023030301. The next prime is 20023030327. The reversal of 20023030320 is 2303032002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20023030320.

It is not an unprimeable number, because it can be changed into a prime (20023030327) 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, 9877147 + ... + 9879173.

It is an arithmetic number, because the mean of its divisors is an integer number (393805152).

Almost surely, 220023030320 is an apocalyptic number.

20023030320 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 20023030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31504412160).

20023030320 is an abundant number, since it is smaller than the sum of its proper divisors (42985794000).

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

20023030320 is a wasteful number, since it uses less digits than its factorization.

20023030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 20023030320 its reverse (2303032002), we get a palindrome (22326062322).

The spelling of 20023030320 in words is "twenty billion, twenty-three million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 521 632 790 948 1042 1185 1264 1563 1580 1896 2027 2084 2370 2605 3126 3160 3792 4054 4168 4740 5210 6081 6252 6320 7815 8108 8336 9480 10135 10420 12162 12504 15630 16216 18960 20270 20840 24324 25008 30405 31260 32432 40540 41159 41680 48648 60810 62520 81080 82318 97296 121620 123477 125040 160133 162160 164636 205795 243240 246954 320266 329272 411590 480399 486480 493908 617385 640532 658544 800665 823180 960798 987816 1056067 1234770 1281064 1601330 1646360 1921596 1975632 2112134 2401995 2469540 2562128 3168201 3202660 3292720 3843192 4224268 4803990 4939080 5280335 6336402 6405320 7686384 8448536 9607980 9878160 10560670 12672804 12810640 15841005 16897072 19215960 21121340 25345608 31682010 38431920 42242680 50691216 63364020 83429293 84485360 126728040 166858586 250287879 253456080 333717172 417146465 500575758 667434344 834292930 1001151516 1251439395 1334868688 1668585860 2002303032 2502878790 3337171720 4004606064 5005757580 6674343440 10011515160 20023030320