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1242539520 = 29351731307
BaseRepresentation
bin100101000001111…
…1010011000000000
310012121001112210020
41022003322120000
510021042231040
6323143533440
742535261125
oct11203723000
93177045706
101242539520
11588421372
122a815a280
1316a569bb1
14bb04474c
157413ecd0
hex4a0fa600

1242539520 has 320 divisors, whose sum is σ = 4355721216. Its totient is φ = 300810240.

The previous prime is 1242539509. The next prime is 1242539581. The reversal of 1242539520 is 259352421.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4047207 + ... + 4047513.

Almost surely, 21242539520 is an apocalyptic number.

1242539520 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 1242539520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177860608).

1242539520 is an abundant number, since it is smaller than the sum of its proper divisors (3113181696).

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

1242539520 is a wasteful number, since it uses less digits than its factorization.

1242539520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 1242539520 is about 35249.6740410461. The cubic root of 1242539520 is about 1075.0699849876.

The spelling of 1242539520 in words is "one billion, two hundred forty-two million, five hundred thirty-nine thousand, five hundred twenty".