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146804 = 2273107
BaseRepresentation
bin100011110101110100
321110101012
4203311310
514144204
63051352
71151000
oct436564
9243335
10146804
11a0329
1270b58
1351a88
143b700
152d76e
hex23d74

146804 has 24 divisors (see below), whose sum is σ = 302400. Its totient is φ = 62328.

The previous prime is 146801. The next prime is 146807. The reversal of 146804 is 408641.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (146801) and next prime (146807).

It is a self number, because there is not a number n which added to its sum of digits gives 146804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1319 + ... + 1425.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2146804 is an apocalyptic number.

146804 is a gapful number since it is divisible by the number (14) 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 146804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

146804 is an abundant number, since it is smaller than the sum of its proper divisors (155596).

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

146804 is a wasteful number, since it uses less digits than its factorization.

146804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 146804 is about 383.1501011353. The cubic root of 146804 is about 52.7528543037.

The spelling of 146804 in words is "one hundred forty-six thousand, eight hundred four".

Divisors: 1 2 4 7 14 28 49 98 107 196 214 343 428 686 749 1372 1498 2996 5243 10486 20972 36701 73402 146804