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1220045140 = 225611000037
BaseRepresentation
bin100100010111000…
…0110100101010100
310011000201201022001
41020232012211110
54444312421030
6321021445044
742143132626
oct11056064524
93130651261
101220045140
11576757a76
122a0710784
131659c2302
14b806ac16
1572199cca
hex48b86954

1220045140 has 24 divisors (see below), whose sum is σ = 2604098952. Its totient is φ = 480017280.

The previous prime is 1220045089. The next prime is 1220045173. The reversal of 1220045140 is 415400221.

It can be written as a sum of positive squares in 4 ways, for example, as 91891396 + 1128153744 = 9586^2 + 33588^2 .

1220045140 is a modest number, since divided by 45140 gives 1220 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 498799 + ... + 501238.

It is an arithmetic number, because the mean of its divisors is an integer number (108504123).

Almost surely, 21220045140 is an apocalyptic number.

1220045140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220045140 is an abundant number, since it is smaller than the sum of its proper divisors (1384053812).

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

1220045140 is a wasteful number, since it uses less digits than its factorization.

1220045140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000107 (or 1000105 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1220045140 is about 34929.1445643892. The cubic root of 1220045140 is about 1068.5429085197.

Adding to 1220045140 its reverse (415400221), we get a palindrome (1635445361).

The spelling of 1220045140 in words is "one billion, two hundred twenty million, forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 1000037 2000074 4000148 5000185 10000370 20000740 61002257 122004514 244009028 305011285 610022570 1220045140