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1464272640 = 2834529487
BaseRepresentation
bin101011101000111…
…0000011100000000
310210001021202110000
41113101300130000
510444323211030
6401144240000
751200053305
oct12721603400
93701252400
101464272640
116915a8786
1234a470000
131a449341c
14dc6830ac
158883d860
hex57470700

1464272640 has 360 divisors, whose sum is σ = 5431235040. Its totient is φ = 376233984.

The previous prime is 1464272627. The next prime is 1464272653. The reversal of 1464272640 is 462724641.

1464272640 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 2 + 7 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1464272627) and next prime (1464272653).

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 a junction number, because it is equal to n+sod(n) for n = 1464272595 and 1464272604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3006477 + ... + 3006963.

It is an arithmetic number, because the mean of its divisors is an integer number (15086764).

Almost surely, 21464272640 is an apocalyptic number.

1464272640 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 1464272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715617520).

1464272640 is an abundant number, since it is smaller than the sum of its proper divisors (3966962400).

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

1464272640 is an equidigital number, since it uses as much as digits as its factorization.

1464272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 1464272640 is about 38265.8155538334. The cubic root of 1464272640 is about 1135.5527565625.

The spelling of 1464272640 in words is "one billion, four hundred sixty-four million, two hundred seventy-two thousand, six hundred forty".