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1230444020 = 2251317475923
BaseRepresentation
bin100100101010111…
…0001010111110100
310011202022000212202
41021111301113310
510004443202040
6322032404032
742330413231
oct11125612764
93152260782
101230444020
1158160a893
122a40a6618
13167bc35b0
14b95b6788
1573051015
hex495715f4

1230444020 has 96 divisors (see below), whose sum is σ = 3009581568. Its totient is φ = 418424832.

The previous prime is 1230443947. The next prime is 1230444023. The reversal of 1230444020 is 204440321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1230443983 and 1230444001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230444023) 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, 204779 + ... + 210701.

It is an arithmetic number, because the mean of its divisors is an integer number (31349808).

Almost surely, 21230444020 is an apocalyptic number.

1230444020 is a gapful number since it is divisible by the number (10) 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 1230444020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504790784).

1230444020 is an abundant number, since it is smaller than the sum of its proper divisors (1779137548).

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

1230444020 is a wasteful number, since it uses less digits than its factorization.

1230444020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6009 (or 6007 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1230444020 is about 35077.6854994739. The cubic root of 1230444020 is about 1071.5701813758.

Adding to 1230444020 its reverse (204440321), we get a palindrome (1434884341).

The spelling of 1230444020 in words is "one billion, two hundred thirty million, four hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 47 52 65 68 85 94 130 170 188 221 235 260 340 442 470 611 799 884 940 1105 1222 1598 2210 2444 3055 3196 3995 4420 5923 6110 7990 10387 11846 12220 15980 20774 23692 29615 41548 51935 59230 76999 100691 103870 118460 153998 201382 207740 278381 307996 384995 402764 503455 556762 769990 1006910 1113524 1308983 1391905 1539980 2013820 2617966 2783810 3618953 4732477 5235932 5567620 6544915 7237906 9464954 13089830 14475812 18094765 18929908 23662385 26179660 36189530 47324770 61522201 72379060 94649540 123044402 246088804 307611005 615222010 1230444020