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145404 = 22327577
BaseRepresentation
bin100011011111111100
321101110100
4203133330
514123104
63041100
71143630
oct433774
9241410
10145404
119a276
1270190
135124c
143adc0
152d139
hex237fc

145404 has 36 divisors (see below), whose sum is σ = 420784. Its totient is φ = 41472.

The previous prime is 145399. The next prime is 145417. The reversal of 145404 is 404541.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1454042 = 42284646432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 145404.

It is an unprimeable number.

145404 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 11 ways as a sum of consecutive naturals, for example, 37 + ... + 540.

2145404 is an apocalyptic number.

145404 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 145404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210392).

145404 is an abundant number, since it is smaller than the sum of its proper divisors (275380).

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

145404 is a wasteful number, since it uses less digits than its factorization.

145404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 145404 is about 381.3187642905. The cubic root of 145404 is about 52.5846254227.

Adding to 145404 its reverse (404541), we get a palindrome (549945).

The spelling of 145404 in words is "one hundred forty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 577 1154 1731 2308 3462 4039 5193 6924 8078 10386 12117 16156 20772 24234 36351 48468 72702 145404