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1422791040 = 2735112329101
BaseRepresentation
bin101010011001110…
…0001000110000000
310200011020021101110
41110303201012000
510403213303130
6353103203320
750154344556
oct12463410600
93604207343
101422791040
11670145a70
123385a6540
131989cb3b8
14d6d65bd6
1584d97ab0
hex54ce1180

1422791040 has 512 divisors, whose sum is σ = 5393433600. Its totient is φ = 315392000.

The previous prime is 1422791039. The next prime is 1422791057. The reversal of 1422791040 is 401972241.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1422790989 and 1422791007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14086990 + ... + 14087090.

It is an arithmetic number, because the mean of its divisors is an integer number (10534050).

Almost surely, 21422791040 is an apocalyptic number.

1422791040 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 1422791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696716800).

1422791040 is an abundant number, since it is smaller than the sum of its proper divisors (3970642560).

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

1422791040 is a wasteful number, since it uses less digits than its factorization.

1422791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1422791040 is about 37719.9024388982. The cubic root of 1422791040 is about 1124.7267919280.

The spelling of 1422791040 in words is "one billion, four hundred twenty-two million, seven hundred ninety-one thousand, forty".