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146076 = 22373747
BaseRepresentation
bin100011101010011100
321102101020
4203222130
514133301
63044140
71145610
oct435234
9242336
10146076
119a827
1270650
1351648
143b340
152d436
hex23a9c

146076 has 48 divisors (see below), whose sum is σ = 408576. Its totient is φ = 39744.

The previous prime is 146063. The next prime is 146077. The reversal of 146076 is 670641.

146076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146077) by changing a digit.

146076 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 15 ways as a sum of consecutive naturals, for example, 3085 + ... + 3131.

It is an arithmetic number, because the mean of its divisors is an integer number (8512).

2146076 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 146076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204288).

146076 is an abundant number, since it is smaller than the sum of its proper divisors (262500).

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

146076 is a wasteful number, since it uses less digits than its factorization.

146076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 146076 is about 382.1989010973. The cubic root of 146076 is about 52.6655094193.

The spelling of 146076 in words is "one hundred forty-six thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 47 74 84 94 111 141 148 188 222 259 282 329 444 518 564 658 777 987 1036 1316 1554 1739 1974 3108 3478 3948 5217 6956 10434 12173 20868 24346 36519 48692 73038 146076