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1492132320 = 25335731953
BaseRepresentation
bin101100011110000…
…0010000111100000
310211222201011202000
41120330002013200
511023441213240
6404021324000
751655626000
oct13074020740
93758634660
101492132320
116a62a7108
12357866600
131aa199143
14102256000
158aee3430
hex58f021e0

1492132320 has 768 divisors, whose sum is σ = 6531840000. Its totient is φ = 317011968.

The previous prime is 1492132319. The next prime is 1492132333. The reversal of 1492132320 is 232312941.

It is a happy number.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28153414 + ... + 28153466.

It is an arithmetic number, because the mean of its divisors is an integer number (8505000).

Almost surely, 21492132320 is an apocalyptic number.

1492132320 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 1492132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920000).

1492132320 is an abundant number, since it is smaller than the sum of its proper divisors (5039707680).

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

1492132320 is a wasteful number, since it uses less digits than its factorization.

1492132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1492132320 is about 38628.1286111559. The cubic root of 1492132320 is about 1142.7093452920.

The spelling of 1492132320 in words is "one billion, four hundred ninety-two million, one hundred thirty-two thousand, three hundred twenty".