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1492980000 = 25354149167
BaseRepresentation
bin101100011111101…
…0001000100100000
310212001022020112120
41120333101010200
511024200330000
6404051424240
751666056241
oct13077210440
93761266476
101492980000
116a6825a76
12357bb5080
131aa404c25
141023d6cc8
158b10e6a0
hex58fd1120

1492980000 has 240 divisors, whose sum is σ = 4959662400. Its totient is φ = 393088000.

The previous prime is 1492979981. The next prime is 1492980011. The reversal of 1492980000 is 892941.

It is a tau number, because it is divible by the number of its divisors (240).

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, 8939917 + ... + 8940083.

It is an arithmetic number, because the mean of its divisors is an integer number (20665260).

Almost surely, 21492980000 is an apocalyptic number.

1492980000 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 1492980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479831200).

1492980000 is an abundant number, since it is smaller than the sum of its proper divisors (3466682400).

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

1492980000 is a wasteful number, since it uses less digits than its factorization.

1492980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1492980000 is about 38639.0993683859. The cubic root of 1492980000 is about 1142.9256952927.

The spelling of 1492980000 in words is "one billion, four hundred ninety-two million, nine hundred eighty thousand".