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1242985920 = 263511313797
BaseRepresentation
bin100101000010110…
…0111010111000000
310012121220020010120
41022011213113000
510021201022140
6323201300240
742542130441
oct11205472700
93177806116
101242985920
115886a67a0
122a8334680
1316a695137
14bb11d2c8
15741cc1d0
hex4a1675c0

1242985920 has 224 divisors, whose sum is σ = 4445300736. Its totient is φ = 291532800.

The previous prime is 1242985883. The next prime is 1242985927. The reversal of 1242985920 is 295892421.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242985927) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 325462 + ... + 329258.

Almost surely, 21242985920 is an apocalyptic number.

1242985920 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 1242985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222650368).

1242985920 is an abundant number, since it is smaller than the sum of its proper divisors (3202314816).

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

1242985920 is a wasteful number, since it uses less digits than its factorization.

1242985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1242985920 is about 35256.0054458811. The cubic root of 1242985920 is about 1075.1987143019.

The spelling of 1242985920 in words is "one billion, two hundred forty-two million, nine hundred eighty-five thousand, nine hundred twenty".