Search a number
-
+
145145024 = 264773661
BaseRepresentation
bin10001010011010…
…11110011000000
3101010010010112122
420221223303000
5244124120044
622222543412
73411466223
oct1051536300
9333103478
10145145024
1174a26672
1240737b68
13240bc13b
14153c35ba
15cb20dee
hex8a6bcc0

145145024 has 56 divisors (see below), whose sum is σ = 298630848. Its totient is φ = 69949440.

The previous prime is 145145023. The next prime is 145145053. The reversal of 145145024 is 420541541.

It is a junction number, because it is equal to n+sod(n) for n = 145144984 and 145145002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145145023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219254 + ... + 219914.

Almost surely, 2145145024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145145024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149315424).

145145024 is an abundant number, since it is smaller than the sum of its proper divisors (153485824).

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

145145024 is an equidigital number, since it uses as much as digits as its factorization.

145145024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 145145024 is about 12047.6148676823. The cubic root of 145145024 is about 525.5338774703.

Adding to 145145024 its reverse (420541541), we get a palindrome (565686565).

The spelling of 145145024 in words is "one hundred forty-five million, one hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 32 47 64 73 94 146 188 292 376 584 661 752 1168 1322 1504 2336 2644 3008 3431 4672 5288 6862 10576 13724 21152 27448 31067 42304 48253 54896 62134 96506 109792 124268 193012 219584 248536 386024 497072 772048 994144 1544096 1988288 2267891 3088192 4535782 9071564 18143128 36286256 72572512 145145024