Search a number
-
+
241954000 = 2453120977
BaseRepresentation
bin11100110101111…
…10110011010000
3121212021112111021
432122332303100
5443420012000
640001525224
75665401151
oct1632766320
9555245437
10241954000
11114638692
1269043814
133b186362
14241c3928
151639511a
hexe6becd0

241954000 has 40 divisors (see below), whose sum is σ = 585049608. Its totient is φ = 96780800.

The previous prime is 241953983. The next prime is 241954001. The reversal of 241954000 is 459142.

It can be written as a sum of positive squares in 4 ways, for example, as 25040016 + 216913984 = 5004^2 + 14728^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241954001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58489 + ... + 62488.

Almost surely, 2241954000 is an apocalyptic number.

241954000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241954000 is an abundant number, since it is smaller than the sum of its proper divisors (343095608).

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

241954000 is a wasteful number, since it uses less digits than its factorization.

241954000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121000 (or 120984 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 241954000 is about 15554.8706198412. The cubic root of 241954000 is about 623.1284814631.

The spelling of 241954000 in words is "two hundred forty-one million, nine hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 120977 241954 483908 604885 967816 1209770 1935632 2419540 3024425 4839080 6048850 9678160 12097700 15122125 24195400 30244250 48390800 60488500 120977000 241954000