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1219040032 = 2572312809
BaseRepresentation
bin100100010101001…
…0001001100100000
310010221211122112211
41020222101030200
54444033240112
6320544131504
742131445400
oct11052211440
93127748484
101219040032
11576130901
122a0306b94
1316572c982
14b7c88800
157204c0a7
hex48a91320

1219040032 has 108 divisors (see below), whose sum is σ = 2888349030. Its totient is φ = 504967680.

The previous prime is 1219040023. The next prime is 1219040033. The reversal of 1219040032 is 2300409121.

It can be written as a sum of positive squares in only one way, i.e., 820478736 + 398561296 = 28644^2 + 19964^2 .

It is a super-2 number, since 2×12190400322 = 2972117199237122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1219039985 and 1219040012.

It is not an unprimeable number, because it can be changed into a prime (1219040033) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1506444 + ... + 1507252.

Almost surely, 21219040032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1219040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444174515).

1219040032 is an abundant number, since it is smaller than the sum of its proper divisors (1669308998).

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

1219040032 is an equidigital number, since it uses as much as digits as its factorization.

1219040032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1219040032 is about 34914.7537869022. The cubic root of 1219040032 is about 1068.2493958573.

Adding to 1219040032 its reverse (2300409121), we get a palindrome (3519449153).

The spelling of 1219040032 in words is "one billion, two hundred nineteen million, forty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 217 224 248 392 434 496 784 809 868 961 992 1519 1568 1618 1736 1922 3038 3236 3472 3844 5663 6076 6472 6727 6944 7688 11326 12152 12944 13454 15376 22652 24304 25079 25888 26908 30752 39641 45304 47089 48608 50158 53816 79282 90608 94178 100316 107632 158564 175553 181216 188356 200632 215264 317128 351106 376712 401264 634256 702212 753424 777449 802528 1228871 1268512 1404424 1506848 1554898 2457742 2808848 3109796 4915484 5442143 5617696 6219592 9830968 10884286 12439184 19661936 21768572 24878368 38095001 39323872 43537144 76190002 87074288 152380004 174148576 304760008 609520016 1219040032