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1424147760 = 2432572371091
BaseRepresentation
bin101010011100010…
…1100010100110000
310200020210012110100
41110320230110300
510404040212020
6353152232400
750202025200
oct12470542460
93606705410
101424147760
11670992322
12338b3b700
13199084aa9
14d71da400
1585064a90
hex54e2c530

1424147760 has 360 divisors, whose sum is σ = 5719227696. Its totient is φ = 316431360.

The previous prime is 1424147737. The next prime is 1424147771. The reversal of 1424147760 is 677414241.

It is a happy number.

1424147760 is a `hidden beast` number, since 142 + 41 + 477 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 1304815 + ... + 1305905.

Almost surely, 21424147760 is an apocalyptic number.

1424147760 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 1424147760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859613848).

1424147760 is an abundant number, since it is smaller than the sum of its proper divisors (4295079936).

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

1424147760 is a wasteful number, since it uses less digits than its factorization.

1424147760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1424147760 is about 37737.8822935257. The cubic root of 1424147760 is about 1125.0841774050.

It can be divided in two parts, 14241 and 47760, that added together give a square (62001 = 2492).

The spelling of 1424147760 in words is "one billion, four hundred twenty-four million, one hundred forty-seven thousand, seven hundred sixty".