Search a number
-
+
1490059200 = 26352761727
BaseRepresentation
bin101100011010000…
…0111111111000000
310211211210211221210
41120310013333000
511022423343300
6403505050120
751632202630
oct13064077700
93754724853
101490059200
116a5110593
12357026940
131a9921646
14101c766c0
158ac34050
hex58d07fc0

1490059200 has 336 divisors, whose sum is σ = 5686413824. Its totient is φ = 334540800.

The previous prime is 1490059199. The next prime is 1490059201. The reversal of 1490059200 is 29500941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1490059199) and next prime (1490059201).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1490059201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2049237 + ... + 2049963.

Almost surely, 21490059200 is an apocalyptic number.

1490059200 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 1490059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843206912).

1490059200 is an abundant number, since it is smaller than the sum of its proper divisors (4196354624).

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

1490059200 is a wasteful number, since it uses less digits than its factorization.

1490059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 1490059200 is about 38601.2849527059. The cubic root of 1490059200 is about 1142.1798856414.

The spelling of 1490059200 in words is "one billion, four hundred ninety million, fifty-nine thousand, two hundred".