Search a number
-
+
145546240 = 2105731131
BaseRepresentation
bin10001010110011…
…01110000000000
3101010212111220111
420223031300000
5244224434430
622235321104
73415060030
oct1053156000
9333774814
10145546240
1175180054
12408b0194
13241cc948
14154898c0
15cb9ec2a
hex8acdc00

145546240 has 176 divisors, whose sum is σ = 415033344. Its totient is φ = 47923200.

The previous prime is 145546229. The next prime is 145546249. The reversal of 145546240 is 42645541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145546249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1110975 + ... + 1111105.

It is an arithmetic number, because the mean of its divisors is an integer number (2358144).

Almost surely, 2145546240 is an apocalyptic number.

145546240 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 145546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207516672).

145546240 is an abundant number, since it is smaller than the sum of its proper divisors (269487104).

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

145546240 is a wasteful number, since it uses less digits than its factorization.

145546240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 145546240 is about 12064.2546392224. The cubic root of 145546240 is about 526.0176662805.

The spelling of 145546240 in words is "one hundred forty-five million, five hundred forty-six thousand, two hundred forty".