[go: up one dir, main page]

Search a number
-
+
11997750 = 235317941
BaseRepresentation
bin101101110001…
…001000110110
3211120112211010
4231301020312
511032412000
61105053050
7203656602
oct55611066
924515733
1011997750
1168550a6
124027186
132640c7b
141844502
1510bed50
hexb71236

11997750 has 64 divisors (see below), whose sum is σ = 31741632. Its totient is φ = 3008000.

The previous prime is 11997691. The next prime is 11997751. The reversal of 11997750 is 5779911.

11997750 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11997699 and 11997708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11997751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12280 + ... + 13220.

It is an arithmetic number, because the mean of its divisors is an integer number (495963).

Almost surely, 211997750 is an apocalyptic number.

11997750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11997750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15870816).

11997750 is an abundant number, since it is smaller than the sum of its proper divisors (19743882).

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

11997750 is a wasteful number, since it uses less digits than its factorization.

11997750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 19845, while the sum is 39.

The square root of 11997750 is about 3463.7768403868. The cubic root of 11997750 is about 228.9285386882.

The spelling of 11997750 in words is "eleven million, nine hundred ninety-seven thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 125 150 170 250 255 375 425 510 750 850 941 1275 1882 2125 2550 2823 4250 4705 5646 6375 9410 12750 14115 15997 23525 28230 31994 47050 47991 70575 79985 95982 117625 141150 159970 235250 239955 352875 399925 479910 705750 799850 1199775 1999625 2399550 3999250 5998875 11997750