Search a number
-
+
1494080640 = 2735513739
BaseRepresentation
bin101100100001101…
…1101110010000000
310212010101011100000
41121003131302000
511024441040030
6404131200000
752011322143
oct13103356200
93763334300
101494080640
116a7407998
12358446000
131aa6cbbb0
1410260205a
158b27a860
hex590ddc80

1494080640 has 384 divisors, whose sum is σ = 5769691200. Its totient is φ = 367276032.

The previous prime is 1494080617. The next prime is 1494080677. The reversal of 1494080640 is 460804941.

It is a happy number.

1494080640 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 0 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 1494080595 and 1494080604.

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 47 ways as a sum of consecutive naturals, for example, 2021391 + ... + 2022129.

Almost surely, 21494080640 is an apocalyptic number.

1494080640 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 1494080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884845600).

1494080640 is an abundant number, since it is smaller than the sum of its proper divisors (4275610560).

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

1494080640 is an equidigital number, since it uses as much as digits as its factorization.

1494080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1494080640 is about 38653.3393124061. The cubic root of 1494080640 is about 1143.2064851089.

The spelling of 1494080640 in words is "one billion, four hundred ninety-four million, eighty thousand, six hundred forty".