Search a number
-
+
146119040 = 275228311
BaseRepresentation
bin10001011010110…
…01100110000000
3101011221121122022
420231121212000
5244401302130
622255501012
73422664014
oct1055314600
9334847568
10146119040
1175531441
1240b27768
1324370592
1415598544
15cc647e5
hex8b59980

146119040 has 32 divisors (see below), whose sum is σ = 349317360. Its totient is φ = 58447360.

The previous prime is 146119033. The next prime is 146119049. The reversal of 146119040 is 40911641.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146119049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113516 + ... + 114795.

Almost surely, 2146119040 is an apocalyptic number.

146119040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146119040 is an abundant number, since it is smaller than the sum of its proper divisors (203198320).

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

146119040 is an equidigital number, since it uses as much as digits as its factorization.

146119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228330 (or 228318 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 146119040 is about 12087.9708801767. The cubic root of 146119040 is about 526.7068138670.

The spelling of 146119040 in words is "one hundred forty-six million, one hundred nineteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 228311 456622 913244 1141555 1826488 2283110 3652976 4566220 7305952 9132440 14611904 18264880 29223808 36529760 73059520 146119040