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158460 = 223519139
BaseRepresentation
bin100110101011111100
322001100220
4212223330
520032320
63221340
71226661
oct465374
9261326
10158460
11a9065
1277850
1357183
1441a68
1531e40
hex26afc

158460 has 48 divisors (see below), whose sum is σ = 470400. Its totient is φ = 39744.

The previous prime is 158449. The next prime is 158489. The reversal of 158460 is 64851.

158460 = T173 + T174 + ... + T182.

It is a self number, because there is not a number n which added to its sum of digits gives 158460.

It is a congruent number.

It is an unprimeable number.

158460 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 15 ways as a sum of consecutive naturals, for example, 1071 + ... + 1209.

It is an arithmetic number, because the mean of its divisors is an integer number (9800).

2158460 is an apocalyptic number.

158460 is a gapful number since it is divisible by the number (10) 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 158460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235200).

158460 is an abundant number, since it is smaller than the sum of its proper divisors (311940).

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

158460 is a wasteful number, since it uses less digits than its factorization.

158460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 158460 is about 398.0703455421. The cubic root of 158460 is about 54.1136153822.

The spelling of 158460 in words is "one hundred fifty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 139 190 228 278 285 380 417 556 570 695 834 1140 1390 1668 2085 2641 2780 4170 5282 7923 8340 10564 13205 15846 26410 31692 39615 52820 79230 158460