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1200720420 = 2232515974177
BaseRepresentation
bin100011110010001…
…1000101000100100
310002200100220202200
41013210120220210
54424341023140
6315051334500
741516645424
oct10744305044
93080326680
101200720420
11566859029
12296151430
131619b7373
14b567a484
157062e030
hex47918a24

1200720420 has 72 divisors (see below), whose sum is σ = 3645338424. Its totient is φ = 319915008.

The previous prime is 1200720407. The next prime is 1200720431. The reversal of 1200720420 is 240270021.

It can be written as a sum of positive squares in 4 ways, for example, as 194435136 + 1006285284 = 13944^2 + 31722^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1200720393 and 1200720402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285372 + ... + 289548.

Almost surely, 21200720420 is an apocalyptic number.

1200720420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200720420 is an abundant number, since it is smaller than the sum of its proper divisors (2444618004).

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

1200720420 is a wasteful number, since it uses less digits than its factorization.

1200720420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5789 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1200720420 is about 34651.4129582042. The cubic root of 1200720420 is about 1062.8711823315.

Adding to 1200720420 its reverse (240270021), we get a palindrome (1440990441).

The spelling of 1200720420 in words is "one billion, two hundred million, seven hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1597 3194 4177 4791 6388 7985 8354 9582 12531 14373 15970 16708 19164 20885 23955 25062 28746 31940 37593 41770 47910 50124 57492 62655 71865 75186 83540 95820 125310 143730 150372 187965 250620 287460 375930 751860 6670669 13341338 20012007 26682676 33353345 40024014 60036021 66706690 80048028 100060035 120072042 133413380 200120070 240144084 300180105 400240140 600360210 1200720420