Search a number
-
+
146348180 = 225111076217
BaseRepresentation
bin10001011100100…
…01100010010100
3101012101020221222
420232101202110
5244431120210
622304425512
73424640036
oct1056214224
9335336858
10146348180
1175678610
1241018298
1324420974
1415617c56
15ccac655
hex8b91894

146348180 has 48 divisors (see below), whose sum is σ = 338458176. Its totient is φ = 52711680.

The previous prime is 146348141. The next prime is 146348183. The reversal of 146348180 is 81843641.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 146348180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146348183) 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 15 ways as a sum of consecutive naturals, for example, 20432 + ... + 26648.

It is an arithmetic number, because the mean of its divisors is an integer number (7051212).

Almost surely, 2146348180 is an apocalyptic number.

146348180 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 146348180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169229088).

146348180 is an abundant number, since it is smaller than the sum of its proper divisors (192109996).

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

146348180 is a wasteful number, since it uses less digits than its factorization.

146348180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6344 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 146348180 is about 12097.4451848314. The cubic root of 146348180 is about 526.9819926227.

The spelling of 146348180 in words is "one hundred forty-six million, three hundred forty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 535 1070 1177 2140 2354 4708 5885 6217 11770 12434 23540 24868 31085 62170 68387 124340 136774 273548 341935 665219 683870 1330438 1367740 2660876 3326095 6652190 7317409 13304380 14634818 29269636 36587045 73174090 146348180