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154364 = 22737149
BaseRepresentation
bin100101101011111100
321211202012
4211223330
514414424
63150352
71212020
oct455374
9254665
10154364
11a5a81
12753b8
1355352
1440380
1530b0e
hex25afc

154364 has 24 divisors (see below), whose sum is σ = 319200. Its totient is φ = 63936.

The previous prime is 154351. The next prime is 154369. The reversal of 154364 is 463451.

It is a happy number.

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 154364.

It is not an unprimeable number, because it can be changed into a prime (154369) by changing a digit.

154364 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 962 + ... + 1110.

It is an arithmetic number, because the mean of its divisors is an integer number (13300).

2154364 is an apocalyptic number.

154364 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 154364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159600).

154364 is an abundant number, since it is smaller than the sum of its proper divisors (164836).

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

154364 is a wasteful number, since it uses less digits than its factorization.

154364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 195 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 154364 is about 392.8918426234. The cubic root of 154364 is about 53.6432820374.

The spelling of 154364 in words is "one hundred fifty-four thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 37 74 148 149 259 298 518 596 1036 1043 2086 4172 5513 11026 22052 38591 77182 154364