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158100 = 223521731
BaseRepresentation
bin100110100110010100
322000212120
4212212110
520024400
63215540
71225635
oct464624
9260776
10158100
11a8868
12775b0
1356c67
144188c
1531ca0
hex26994

158100 has 72 divisors (see below), whose sum is σ = 499968. Its totient is φ = 38400.

The previous prime is 158077. The next prime is 158113. The reversal of 158100 is 1851.

It is a happy number.

It is a super-2 number, since 2×1581002 = 49991220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 158100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5085 + ... + 5115.

It is an arithmetic number, because the mean of its divisors is an integer number (6944).

2158100 is an apocalyptic number.

158100 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 158100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984).

158100 is an abundant number, since it is smaller than the sum of its proper divisors (341868).

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

158100 is a wasteful number, since it uses less digits than its factorization.

158100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 158100 is about 397.6179070414. The cubic root of 158100 is about 54.0726046690.

Adding to 158100 its reverse (1851), we get a palindrome (159951).

The spelling of 158100 in words is "one hundred fifty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 31 34 50 51 60 62 68 75 85 93 100 102 124 150 155 170 186 204 255 300 310 340 372 425 465 510 527 620 775 850 930 1020 1054 1275 1550 1581 1700 1860 2108 2325 2550 2635 3100 3162 4650 5100 5270 6324 7905 9300 10540 13175 15810 26350 31620 39525 52700 79050 158100