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146790 = 23257233
BaseRepresentation
bin100011110101100110
321110100200
4203311212
514144130
63051330
71150650
oct436546
9243320
10146790
11a0316
1270b46
1351a77
143b6d0
152d760
hex23d66

146790 has 48 divisors (see below), whose sum is σ = 438048. Its totient is φ = 33408.

The previous prime is 146777. The next prime is 146801. The reversal of 146790 is 97641.

It is a congruent number.

It is an unprimeable number.

146790 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 23 ways as a sum of consecutive naturals, for example, 514 + ... + 746.

It is an arithmetic number, because the mean of its divisors is an integer number (9126).

2146790 is an apocalyptic number.

146790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219024).

146790 is an abundant number, since it is smaller than the sum of its proper divisors (291258).

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

146790 is a wasteful number, since it uses less digits than its factorization.

146790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 146790 is about 383.1318310973. The cubic root of 146790 is about 52.7511773207.

The spelling of 146790 in words is "one hundred forty-six thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 233 315 466 630 699 1165 1398 1631 2097 2330 3262 3495 4194 4893 6990 8155 9786 10485 14679 16310 20970 24465 29358 48930 73395 146790