Search a number
-
+
146343040 = 275251911
BaseRepresentation
bin10001011100100…
…00010010000000
3101012100222220121
420232100102000
5244430434130
622304350024
73424616044
oct1056202200
9335328817
10146343040
1175674768
1241015314
132441b51c
1415616024
15ccaad7a
hex8b90480

146343040 has 64 divisors (see below), whose sum is σ = 351630720. Its totient is φ = 58240000.

The previous prime is 146342983. The next prime is 146343047. The reversal of 146343040 is 40343641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 146342996 and 146343014.

It is not an unprimeable number, because it can be changed into a prime (146343047) 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, 160185 + ... + 161095.

It is an arithmetic number, because the mean of its divisors is an integer number (5494230).

Almost surely, 2146343040 is an apocalyptic number.

146343040 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 146343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175815360).

146343040 is an abundant number, since it is smaller than the sum of its proper divisors (205287680).

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

146343040 is an equidigital number, since it uses as much as digits as its factorization.

146343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 146343040 is about 12097.2327414165. The cubic root of 146343040 is about 526.9758230456.

Adding to 146343040 its reverse (40343641), we get a palindrome (186686681).

The spelling of 146343040 in words is "one hundred forty-six million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 251 320 502 640 911 1004 1255 1822 2008 2510 3644 4016 4555 5020 7288 8032 9110 10040 14576 16064 18220 20080 29152 32128 36440 40160 58304 72880 80320 116608 145760 160640 228661 291520 457322 583040 914644 1143305 1829288 2286610 3658576 4573220 7317152 9146440 14634304 18292880 29268608 36585760 73171520 146343040