Search a number
-
+
115212000 = 253539601
BaseRepresentation
bin1101101110111…
…11111011100000
322000210101011010
412313133323200
5213443241000
615233220520
72566200021
oct667377340
9260711133
10115212000
115a041532
1232701740
131ab3b7a7
1411430c48
15a1abd50
hex6ddfee0

115212000 has 96 divisors (see below), whose sum is σ = 377473824. Its totient is φ = 30720000.

The previous prime is 115211963. The next prime is 115212017. The reversal of 115212000 is 212511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7200 + ... + 16800.

It is an arithmetic number, because the mean of its divisors is an integer number (3932019).

Almost surely, 2115212000 is an apocalyptic number.

115212000 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 115212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188736912).

115212000 is an abundant number, since it is smaller than the sum of its proper divisors (262261824).

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

115212000 is an equidigital number, since it uses as much as digits as its factorization.

115212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9629 (or 9611 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 115212000 is about 10733.6852944364. The cubic root of 115212000 is about 486.5930540648.

Adding to 115212000 its reverse (212511), we get a palindrome (115424511).

It can be divided in two parts, 1152 and 12000, that multiplied together give a cube (13824000 = 2403).

The spelling of 115212000 in words is "one hundred fifteen million, two hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 9601 12000 19202 28803 38404 48005 57606 76808 96010 115212 144015 153616 192020 230424 240025 288030 307232 384040 460848 480050 576060 720075 768080 921696 960100 1152120 1200125 1440150 1536160 1920200 2304240 2400250 2880300 3600375 3840400 4608480 4800500 5760600 7200750 7680800 9601000 11521200 14401500 19202000 23042400 28803000 38404000 57606000 115212000