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1201245520 = 245101148669
BaseRepresentation
bin100011110011001…
…1000110101010000
310002201100121001211
41013212120311100
54430004324040
6315110505504
741524263346
oct10746306520
93081317054
101201245520
115670875a2
12296365294
13161b3c387
14b5775996
15706d48ea
hex47998d50

1201245520 has 40 divisors (see below), whose sum is σ = 2820567240. Its totient is φ = 475737600.

The previous prime is 1201245469. The next prime is 1201245553. The reversal of 1201245520 is 255421021.

It can be written as a sum of positive squares in 4 ways, for example, as 455737104 + 745508416 = 21348^2 + 27304^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1201245491 and 1201245500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66255 + ... + 82414.

It is an arithmetic number, because the mean of its divisors is an integer number (70514181).

Almost surely, 21201245520 is an apocalyptic number.

1201245520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201245520 is an abundant number, since it is smaller than the sum of its proper divisors (1619321720).

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

1201245520 is a wasteful number, since it uses less digits than its factorization.

1201245520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148783 (or 148777 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 1201245520 is about 34658.9890216088. The cubic root of 1201245520 is about 1063.0260983053.

Adding to 1201245520 its reverse (255421021), we get a palindrome (1456666541).

The spelling of 1201245520 in words is "one billion, two hundred one million, two hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 148669 297338 594676 743345 1189352 1486690 2378704 2973380 5946760 11893520 15015569 30031138 60062276 75077845 120124552 150155690 240249104 300311380 600622760 1201245520