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146972 = 22729181
BaseRepresentation
bin100011111000011100
321110121102
4203320130
514200342
63052232
71151330
oct437034
9243542
10146972
11a0471
1271078
1351b87
143b7c0
152d832
hex23e1c

146972 has 24 divisors (see below), whose sum is σ = 305760. Its totient is φ = 60480.

The previous prime is 146953. The next prime is 146977. The reversal of 146972 is 279641.

146972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146977) by changing a digit.

146972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 722 + ... + 902.

It is an arithmetic number, because the mean of its divisors is an integer number (12740).

2146972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152880).

146972 is an abundant number, since it is smaller than the sum of its proper divisors (158788).

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

146972 is a wasteful number, since it uses less digits than its factorization.

146972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 219 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 146972 is about 383.3692736775. The cubic root of 146972 is about 52.7729697887.

The spelling of 146972 in words is "one hundred forty-six thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 28 29 58 116 181 203 362 406 724 812 1267 2534 5068 5249 10498 20996 36743 73486 146972