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1402367040 = 26335237057
BaseRepresentation
bin101001110010110…
…0110110001000000
310121201210121221000
41103211212301000
510333001221130
6351053332000
746515631434
oct12345466100
93551717830
101402367040
1165a666128
12331797000
131946c9ca9
14d436a9c4
15831b1260
hex53966c40

1402367040 has 224 divisors, whose sum is σ = 5163068160. Its totient is φ = 357654528.

The previous prime is 1402367033. The next prime is 1402367089. The reversal of 1402367040 is 407632041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1402366995 and 1402367013.

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 31 ways as a sum of consecutive naturals, for example, 195192 + ... + 202248.

Almost surely, 21402367040 is an apocalyptic number.

1402367040 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 1402367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581534080).

1402367040 is an abundant number, since it is smaller than the sum of its proper divisors (3760701120).

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

1402367040 is a wasteful number, since it uses less digits than its factorization.

1402367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7106 (or 7090 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1402367040 is about 37448.1914116022. The cubic root of 1402367040 is about 1119.3190588723.

Adding to 1402367040 its reverse (407632041), we get a palindrome (1809999081).

The spelling of 1402367040 in words is "one billion, four hundred two million, three hundred sixty-seven thousand, forty".