Search a number
-
+
161290000 = 24541272
BaseRepresentation
bin10011001110100…
…01011100010000
3102020111101021201
421213101130100
5312242240000
624001000544
73665641144
oct1147213420
9366441251
10161290000
1183053623
1246023154
1327552991
14175c7224
15e25e96a
hex99d1710

161290000 has 75 divisors (see below), whose sum is σ = 393598227. Its totient is φ = 64008000.

The previous prime is 161289977. The next prime is 161290009. The reversal of 161290000 is 92161.

The square root of 161290000 is 12700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 12645136 + 148644864 = 3556^2 + 12192^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 161290000.

It is not an unprimeable number, because it can be changed into a prime (161290009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1269937 + ... + 1270063.

Almost surely, 2161290000 is an apocalyptic number.

161290000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

161290000 is the 12700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161290000

161290000 is an abundant number, since it is smaller than the sum of its proper divisors (232308227).

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

161290000 is an frugal number, since it uses more digits than its factorization.

161290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The cubic root of 161290000 is about 544.3386191961.

The spelling of 161290000 in words is "one hundred sixty-one million, two hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 127 200 250 254 400 500 508 625 635 1000 1016 1250 1270 2000 2032 2500 2540 3175 5000 5080 6350 10000 10160 12700 15875 16129 25400 31750 32258 50800 63500 64516 79375 80645 127000 129032 158750 161290 254000 258064 317500 322580 403225 635000 645160 806450 1270000 1290320 1612900 2016125 3225800 4032250 6451600 8064500 10080625 16129000 20161250 32258000 40322500 80645000 161290000