Search a number
-
+
1494176640 = 273511263269
BaseRepresentation
bin101100100001111…
…0101001110000000
310212010120001000120
41121003311032000
511030002123030
6404133220240
752012202055
oct13103651600
93763501016
101494176640
116a7473030
12358491680
131aa7337b8
1410262902c
158b299010
hex590f5380

1494176640 has 256 divisors, whose sum is σ = 5234803200. Its totient is φ = 359505920.

The previous prime is 1494176617. The next prime is 1494176683. The reversal of 1494176640 is 466714941.

It is a junction number, because it is equal to n+sod(n) for n = 1494176592 and 1494176601.

It is a congruent number.

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, 5554426 + ... + 5554694.

It is an arithmetic number, because the mean of its divisors is an integer number (20448450).

Almost surely, 21494176640 is an apocalyptic number.

1494176640 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 1494176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617401600).

1494176640 is an abundant number, since it is smaller than the sum of its proper divisors (3740626560).

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

1494176640 is a wasteful number, since it uses less digits than its factorization.

1494176640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1494176640 is about 38654.5810997869. The cubic root of 1494176640 is about 1143.2309696133.

The spelling of 1494176640 in words is "one billion, four hundred ninety-four million, one hundred seventy-six thousand, six hundred forty".