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1011485840 = 24512643573
BaseRepresentation
bin111100010010100…
…000110010010000
32121111021210201112
4330102200302100
54032420021330
6244211352452
734031326211
oct7422406220
92544253645
101011485840
11479a59312
122428b2728
1313172c141
149849b408
155dbee795
hex3c4a0c90

1011485840 has 20 divisors (see below), whose sum is σ = 2351704764. Its totient is φ = 404594304.

The previous prime is 1011485837. The next prime is 1011485857. The reversal of 1011485840 is 485841101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 194212096 + 817273744 = 13936^2 + 28588^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 1011485797 and 1011485806.

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 3 ways as a sum of consecutive naturals, for example, 6321707 + ... + 6321866.

Almost surely, 21011485840 is an apocalyptic number.

1011485840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011485840 is an abundant number, since it is smaller than the sum of its proper divisors (1340218924).

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

1011485840 is a wasteful number, since it uses less digits than its factorization.

1011485840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12643586 (or 12643580 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 1011485840 is about 31803.8651739061. The cubic root of 1011485840 is about 1003.8140478778.

The spelling of 1011485840 in words is "one billion, eleven million, four hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12643573 25287146 50574292 63217865 101148584 126435730 202297168 252871460 505742920 1011485840