Search a number
-
+
1493191260 = 2235511173153
BaseRepresentation
bin101100100000000…
…0100101001011100
310212001200222100000
41121000010221130
511024224110020
6404100134300
752000626201
oct13100045134
93761628300
101493191260
116a695a770
12358097390
131aa47a132
1410244dca8
158b152090
hex59004a5c

1493191260 has 576 divisors, whose sum is σ = 5706215424. Its totient is φ = 323481600.

The previous prime is 1493191253. The next prime is 1493191261. The reversal of 1493191260 is 621913941.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1493191261) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 28173394 + ... + 28173446.

It is an arithmetic number, because the mean of its divisors is an integer number (9906624).

Almost surely, 21493191260 is an apocalyptic number.

1493191260 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 1493191260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853107712).

1493191260 is an abundant number, since it is smaller than the sum of its proper divisors (4213024164).

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

1493191260 is a wasteful number, since it uses less digits than its factorization.

1493191260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1493191260 is about 38641.8330310559. The cubic root of 1493191260 is about 1142.9796015952.

The spelling of 1493191260 in words is "one billion, four hundred ninety-three million, one hundred ninety-one thousand, two hundred sixty".