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146960 = 24511167
BaseRepresentation
bin100011111000010000
321110120222
4203320100
514200320
63052212
71151312
oct437020
9243528
10146960
11a0460
1271068
1351b78
143b7b2
152d825
hex23e10

146960 has 40 divisors (see below), whose sum is σ = 374976. Its totient is φ = 53120.

The previous prime is 146953. The next prime is 146977. The reversal of 146960 is 69641.

It is a tau number, because it is divible by the number of its divisors (40).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 146960.

It is an unprimeable number.

146960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 797 + ... + 963.

2146960 is an apocalyptic number.

146960 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 146960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488).

146960 is an abundant number, since it is smaller than the sum of its proper divisors (228016).

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

146960 is a wasteful number, since it uses less digits than its factorization.

146960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 146960 is about 383.3536226515. The cubic root of 146960 is about 52.7715334769.

The spelling of 146960 in words is "one hundred forty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 167 176 220 334 440 668 835 880 1336 1670 1837 2672 3340 3674 6680 7348 9185 13360 14696 18370 29392 36740 73480 146960