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1242032064 = 263713671061
BaseRepresentation
bin100101000000111…
…1110011111000000
310012120002202200120
41022001332133000
510020430011224
6323125020240
742531045510
oct11201763700
93176082616
101242032064
11588105089
122a7b54680
1316a41cc20
14bad51840
157408e779
hex4a07e7c0

1242032064 has 224 divisors, whose sum is σ = 4108801536. Its totient is φ = 322375680.

The previous prime is 1242032059. The next prime is 1242032111. The reversal of 1242032064 is 4602302421.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1170094 + ... + 1171154.

It is an arithmetic number, because the mean of its divisors is an integer number (18342864).

Almost surely, 21242032064 is an apocalyptic number.

1242032064 is a gapful number since it is divisible by the number (14) 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 1242032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054400768).

1242032064 is an abundant number, since it is smaller than the sum of its proper divisors (2866769472).

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

1242032064 is a wasteful number, since it uses less digits than its factorization.

1242032064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1242032064 is about 35242.4752819662. The cubic root of 1242032064 is about 1074.9236113739.

Adding to 1242032064 its reverse (4602302421), we get a palindrome (5844334485).

The spelling of 1242032064 in words is "one billion, two hundred forty-two million, thirty-two thousand, sixty-four".