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1220321540 = 225174187541
BaseRepresentation
bin100100010111100…
…1010000100000100
310011001020202110002
41020233022010010
54444400242130
6321031420432
742145363514
oct11057120404
93131222402
101220321540
115769266a9
122a0824718
13165a8b069
14b80dd844
1572201b45
hex48bca104

1220321540 has 48 divisors (see below), whose sum is σ = 2779633584. Its totient is φ = 448204800.

The previous prime is 1220321539. The next prime is 1220321549. The reversal of 1220321540 is 451230221.

It can be written as a sum of positive squares in 8 ways, for example, as 65545216 + 1154776324 = 8096^2 + 33982^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1220321549) by changing a digit.

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, 29831 + ... + 57710.

It is an arithmetic number, because the mean of its divisors is an integer number (57909033).

Almost surely, 21220321540 is an apocalyptic number.

1220321540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220321540 is an abundant number, since it is smaller than the sum of its proper divisors (1559312044).

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

1220321540 is a wasteful number, since it uses less digits than its factorization.

1220321540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87608 (or 87606 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1220321540 is about 34933.1009216187. The cubic root of 1220321540 is about 1068.6235948674.

Adding to 1220321540 its reverse (451230221), we get a palindrome (1671551761).

The spelling of 1220321540 in words is "one billion, two hundred twenty million, three hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 2788 3485 6970 13940 87541 175082 350164 437705 875410 1488197 1750820 2976394 3589181 5952788 7178362 7440985 14356724 14881970 17945905 29763940 35891810 61016077 71783620 122032154 244064308 305080385 610160770 1220321540