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1220044040 = 23589389881
BaseRepresentation
bin100100010111000…
…0110010100001000
310011000201122210022
41020232012110020
54444312402130
6321021440012
742143126465
oct11056062410
93130648708
101220044040
11576757166
122a0710008
131659c1967
14b806a66c
15721997e5
hex48b86508

1220044040 has 64 divisors (see below), whose sum is σ = 2786238000. Its totient is φ = 480747520.

The previous prime is 1220044037. The next prime is 1220044057. The reversal of 1220044040 is 404400221.

It can be written as a sum of positive squares in 8 ways, for example, as 64995844 + 1155048196 = 8062^2 + 33986^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1384400 + ... + 1385280.

Almost surely, 21220044040 is an apocalyptic number.

1220044040 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 1220044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393119000).

1220044040 is an abundant number, since it is smaller than the sum of its proper divisors (1566193960).

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

1220044040 is a wasteful number, since it uses less digits than its factorization.

1220044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 1220044040 is about 34929.1288182228. The cubic root of 1220044040 is about 1068.5425873847.

Adding to 1220044040 its reverse (404400221), we get a palindrome (1624444261).

The spelling of 1220044040 in words is "one billion, two hundred twenty million, forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 389 445 712 778 881 890 1556 1762 1780 1945 3112 3524 3560 3890 4405 7048 7780 8810 15560 17620 34621 35240 69242 78409 138484 156818 173105 276968 313636 342709 346210 392045 627272 685418 692420 784090 1370836 1384840 1568180 1713545 2741672 3136360 3427090 6854180 13708360 30501101 61002202 122004404 152505505 244008808 305011010 610022020 1220044040