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241554080 = 2557320681
BaseRepresentation
bin11100110010111…
…01001010100000
3121211112012220102
432121131022200
5443314212310
635545201532
75662114205
oct1631351240
9554465812
10241554080
11114395179
1268a902a8
133b076311
142411bcac
15163168a5
hexe65d2a0

241554080 has 48 divisors (see below), whose sum is σ = 578516904. Its totient is φ = 95293440.

The previous prime is 241554067. The next prime is 241554109. The reversal of 241554080 is 80455142.

It can be written as a sum of positive squares in 4 ways, for example, as 148547344 + 93006736 = 12188^2 + 9644^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1340 + ... + 22020.

Almost surely, 2241554080 is an apocalyptic number.

241554080 is a gapful number since it is divisible by the number (20) 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 241554080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289258452).

241554080 is an abundant number, since it is smaller than the sum of its proper divisors (336962824).

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

241554080 is a wasteful number, since it uses less digits than its factorization.

241554080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20769 (or 20761 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 241554080 is about 15542.0101659985. The cubic root of 241554080 is about 622.7849740632.

The spelling of 241554080 in words is "two hundred forty-one million, five hundred fifty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5840 11680 20681 41362 82724 103405 165448 206810 330896 413620 661792 827240 1509713 1654480 3019426 3308960 6038852 7548565 12077704 15097130 24155408 30194260 48310816 60388520 120777040 241554080