Search a number
-
+
145560640 = 265617457
BaseRepresentation
bin10001010110100…
…01010001000000
3101010220020122211
420223101101000
5244230420030
622235511504
73415150021
oct1053212100
9333806584
10145560640
117518a955
12408b8594
1324206374
1415490c48
15cba412a
hex8ad1440

145560640 has 56 divisors (see below), whose sum is σ = 352345752. Its totient is φ = 57262080.

The previous prime is 145560637. The next prime is 145560677. The reversal of 145560640 is 46065541.

145560640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 984064 + 144576576 = 992^2 + 12024^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15792 + ... + 23248.

Almost surely, 2145560640 is an apocalyptic number.

145560640 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 145560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176172876).

145560640 is an abundant number, since it is smaller than the sum of its proper divisors (206785112).

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

145560640 is an equidigital number, since it uses as much as digits as its factorization.

145560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7535 (or 7525 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 145560640 is about 12064.8514288407. The cubic root of 145560640 is about 526.0350133555.

The spelling of 145560640 in words is "one hundred forty-five million, five hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1220 1952 2440 3904 4880 7457 9760 14914 19520 29828 37285 59656 74570 119312 149140 238624 298280 454877 477248 596560 909754 1193120 1819508 2274385 2386240 3639016 4548770 7278032 9097540 14556064 18195080 29112128 36390160 72780320 145560640