Search a number
-
+
1485891540 = 22375723211
BaseRepresentation
bin101100010010000…
…1110011111010100
310211112222010000000
41120210032133110
511020342012130
6403235451300
751551604210
oct13044163724
93745863000
101485891540
116a2824341
12355756b30
131a8ac2683
141014ad940
158a6ae260
hex5890e7d4

1485891540 has 384 divisors, whose sum is σ = 5607383040. Its totient is φ = 323326080.

The previous prime is 1485891529. The next prime is 1485891587. The reversal of 1485891540 is 451985841.

It is a happy number.

1485891540 is a `hidden beast` number, since 14 + 8 + 5 + 8 + 91 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7042035 + ... + 7042245.

It is an arithmetic number, because the mean of its divisors is an integer number (14602560).

Almost surely, 21485891540 is an apocalyptic number.

1485891540 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 1485891540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803691520).

1485891540 is an abundant number, since it is smaller than the sum of its proper divisors (4121491500).

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

1485891540 is a wasteful number, since it uses less digits than its factorization.

1485891540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 1485891540 is about 38547.2637161187. The cubic root of 1485891540 is about 1141.1140079897.

It can be divided in two parts, 1485 and 891540, that added together give a square (893025 = 9452).

The spelling of 1485891540 in words is "one billion, four hundred eighty-five million, eight hundred ninety-one thousand, five hundred forty".