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1244430020 = 2252916313163
BaseRepresentation
bin100101000101100…
…0111111011000100
310012201121121001202
41022023013323010
510022033230040
6323252242032
742560323601
oct11213077304
93181547052
101244430020
115894a2769
122a8910318
1316aa7c532
14bb3b76a8
15743b5015
hex4a2c7ec4

1244430020 has 48 divisors (see below), whose sum is σ = 2720208960. Its totient is φ = 477622656.

The previous prime is 1244429987. The next prime is 1244430053. The reversal of 1244430020 is 200344421.

It is an interprime number because it is at equal distance from previous prime (1244429987) and next prime (1244430053).

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 = 1244429974 and 1244430001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87959 + ... + 101121.

It is an arithmetic number, because the mean of its divisors is an integer number (56671020).

Almost surely, 21244430020 is an apocalyptic number.

1244430020 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 1244430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360104480).

1244430020 is an abundant number, since it is smaller than the sum of its proper divisors (1475778940).

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

1244430020 is a wasteful number, since it uses less digits than its factorization.

1244430020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13364 (or 13362 counting only the distinct ones).

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

The square root of 1244430020 is about 35276.4796996526. The cubic root of 1244430020 is about 1075.6149414744.

Adding to 1244430020 its reverse (200344421), we get a palindrome (1444774441).

The spelling of 1244430020 in words is "one billion, two hundred forty-four million, four hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 163 290 326 580 652 815 1630 3260 4727 9454 13163 18908 23635 26326 47270 52652 65815 94540 131630 263260 381727 763454 1526908 1908635 2145569 3817270 4291138 7634540 8582276 10727845 21455690 42911380 62221501 124443002 248886004 311107505 622215010 1244430020