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1401482880 = 27325734759
BaseRepresentation
bin101001110001000…
…1110111010000000
310121200010201002100
41103202032322000
510332234423010
6351022350400
746505256630
oct12342167200
93550121070
101401482880
1165a111916
1233142b400
1319447a715
14d41ba6c0
15830892c0
hex5388ee80

1401482880 has 192 divisors, whose sum is σ = 5531011200. Its totient is φ = 320329728.

The previous prime is 1401482879. The next prime is 1401482881. The reversal of 1401482880 is 882841041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1401482879) and next prime (1401482881).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (1401482881) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22941 + ... + 57699.

It is an arithmetic number, because the mean of its divisors is an integer number (28807350).

Almost surely, 21401482880 is an apocalyptic number.

1401482880 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 1401482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765505600).

1401482880 is an abundant number, since it is smaller than the sum of its proper divisors (4129528320).

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

1401482880 is a wasteful number, since it uses less digits than its factorization.

1401482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34791 (or 34776 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1401482880 is about 37436.3844408084. The cubic root of 1401482880 is about 1119.0837744878.

The spelling of 1401482880 in words is "one billion, four hundred one million, four hundred eighty-two thousand, eight hundred eighty".