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1220124440 = 235611014951
BaseRepresentation
bin100100010111001…
…1001111100011000
310011000212202002002
41020232121330120
54444322440230
6321023300132
742143613053
oct11056317430
93130782062
101220124440
11576801607
122a074a648
13165a1c432
14b808ba9a
15721b3545
hex48b99f18

1220124440 has 64 divisors (see below), whose sum is σ = 2818480320. Its totient is φ = 475200000.

The previous prime is 1220124341. The next prime is 1220124449. The reversal of 1220124440 is 444210221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220124449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243965 + ... + 248915.

It is an arithmetic number, because the mean of its divisors is an integer number (44038755).

Almost surely, 21220124440 is an apocalyptic number.

1220124440 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 1220124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409240160).

1220124440 is an abundant number, since it is smaller than the sum of its proper divisors (1598355880).

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

1220124440 is a wasteful number, since it uses less digits than its factorization.

1220124440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1220124440 is about 34930.2797011418. The cubic root of 1220124440 is about 1068.5660589246.

Adding to 1220124440 its reverse (444210221), we get a palindrome (1664334661).

The spelling of 1220124440 in words is "one billion, two hundred twenty million, one hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 101 122 202 244 305 404 488 505 610 808 1010 1220 2020 2440 4040 4951 6161 9902 12322 19804 24644 24755 30805 39608 49288 49510 61610 99020 123220 198040 246440 302011 500051 604022 1000102 1208044 1510055 2000204 2416088 2500255 3020110 4000408 5000510 6040220 10001020 12080440 20002040 30503111 61006222 122012444 152515555 244024888 305031110 610062220 1220124440