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1201242960 = 24345197941
BaseRepresentation
bin100011110011001…
…1000001101010000
310002201100110120000
41013212120031100
54430004233320
6315110450000
741524253031
oct10746301520
93081313500
101201242960
11567085685
12296363900
13161b3b168
14b5774a88
15706d3c90
hex47998350

1201242960 has 200 divisors, whose sum is σ = 4197729096. Its totient is φ = 318366720.

The previous prime is 1201242949. The next prime is 1201242983. The reversal of 1201242960 is 692421021.

It can be written as a sum of positive squares in 4 ways, for example, as 503015184 + 698227776 = 22428^2 + 26424^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 1276090 + ... + 1277030.

Almost surely, 21201242960 is an apocalyptic number.

1201242960 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 1201242960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098864548).

1201242960 is an abundant number, since it is smaller than the sum of its proper divisors (2996486136).

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

1201242960 is a wasteful number, since it uses less digits than its factorization.

1201242960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1201242960 is about 34658.9520903330. The cubic root of 1201242960 is about 1063.0253431589.

Adding to 1201242960 its reverse (692421021), we get a palindrome (1893663981).

The spelling of 1201242960 in words is "one billion, two hundred one million, two hundred forty-two thousand, nine hundred sixty".