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241825640 = 23577311831
BaseRepresentation
bin11100110100111…
…11011101101000
3121212001000102012
432122133131220
5443401410030
635555055052
75664325010
oct1632373550
9555030365
10241825640
11114560201
1268ba1488
133b13cac4
142418cc40
151636c095
hexe69f768

241825640 has 64 divisors (see below), whose sum is σ = 630408960. Its totient is φ = 81768960.

The previous prime is 241825627. The next prime is 241825651. The reversal of 241825640 is 46528142.

It is a super-2 number, since 2×2418256402 = 116959280322819200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241825597 and 241825606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14525 + ... + 26355.

It is an arithmetic number, because the mean of its divisors is an integer number (9850140).

Almost surely, 2241825640 is an apocalyptic number.

241825640 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 241825640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315204480).

241825640 is an abundant number, since it is smaller than the sum of its proper divisors (388583320).

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

241825640 is a wasteful number, since it uses less digits than its factorization.

241825640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11922 (or 11918 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 241825640 is about 15550.7440336468. The cubic root of 241825640 is about 623.0182691633.

The spelling of 241825640 in words is "two hundred forty-one million, eight hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 140 146 280 292 365 511 584 730 1022 1460 2044 2555 2920 4088 5110 10220 11831 20440 23662 47324 59155 82817 94648 118310 165634 236620 331268 414085 473240 662536 828170 863663 1656340 1727326 3312680 3454652 4318315 6045641 6909304 8636630 12091282 17273260 24182564 30228205 34546520 48365128 60456410 120912820 241825640