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1423992960 = 27345132113
BaseRepresentation
bin101010011100000…
…0110100010000000
310200020111100010000
41110320012202000
510404020233320
6353145040000
750200511655
oct12470064200
93606440100
101423992960
11670896a95
12338a86000
1319902c4b0
14d7199c2c
1585033c90
hex54e06880

1423992960 has 320 divisors, whose sum is σ = 5479107480. Its totient is φ = 350355456.

The previous prime is 1423992959. The next prime is 1423992971. The reversal of 1423992960 is 692993241.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 369562176 + 1054430784 = 19224^2 + 32472^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 672864 + ... + 674976.

Almost surely, 21423992960 is an apocalyptic number.

1423992960 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 1423992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739553740).

1423992960 is an abundant number, since it is smaller than the sum of its proper divisors (4055114520).

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

1423992960 is a wasteful number, since it uses less digits than its factorization.

1423992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1423992960 is about 37735.8312482977. The cubic root of 1423992960 is about 1125.0434116581.

The spelling of 1423992960 in words is "one billion, four hundred twenty-three million, nine hundred ninety-two thousand, nine hundred sixty".