Search a number
-
+
145382490 = 2325111959131
BaseRepresentation
bin10001010101001…
…01110001011010
3101010120012021200
420222211301122
5244204214430
622232015030
73413505441
oct1052456132
9333505250
10145382490
1175079020
1240831476
1324173256
1415445d58
15cb6b460
hex8aa5c5a

145382490 has 192 divisors, whose sum is σ = 444787200. Its totient is φ = 32572800.

The previous prime is 145382449. The next prime is 145382513. The reversal of 145382490 is 94283541.

145382490 is a `hidden beast` number, since 14 + 538 + 24 + 90 = 666.

It is a super-2 number, since 2×1453824902 = 42272136797200200, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1109725 + ... + 1109855.

It is an arithmetic number, because the mean of its divisors is an integer number (2316600).

Almost surely, 2145382490 is an apocalyptic number.

145382490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145382490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222393600).

145382490 is an abundant number, since it is smaller than the sum of its proper divisors (299404710).

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

145382490 is a wasteful number, since it uses less digits than its factorization.

145382490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 145382490 is about 12057.4661517252. The cubic root of 145382490 is about 525.8203230035.

The spelling of 145382490 in words is "one hundred forty-five million, three hundred eighty-two thousand, four hundred ninety".