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241581096 = 23336716693
BaseRepresentation
bin11100110011000…
…11110000101000
3121211120120222000
432121203300220
5443321043341
635545531000
75662256031
oct1631436050
9554516860
10241581096
111144034a9
1268aa3a60
133b0856c3
1424127a88
151631e8b6
hexe663c28

241581096 has 64 divisors (see below), whose sum is σ = 681115200. Its totient is φ = 79320384.

The previous prime is 241581091. The next prime is 241581113. The reversal of 241581096 is 690185142.

It is a super-2 number, since 2×2415810962 = 116722851889122432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 241581096.

It is not an unprimeable number, because it can be changed into a prime (241581091) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6126 + ... + 22818.

It is an arithmetic number, because the mean of its divisors is an integer number (10642425).

Almost surely, 2241581096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241581096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340557600).

241581096 is an abundant number, since it is smaller than the sum of its proper divisors (439534104).

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

241581096 is a wasteful number, since it uses less digits than its factorization.

241581096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16775 (or 16765 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 241581096 is about 15542.8792699422. The cubic root of 241581096 is about 622.8081911301.

The spelling of 241581096 in words is "two hundred forty-one million, five hundred eighty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 1206 1608 1809 2412 3618 4824 7236 14472 16693 33386 50079 66772 100158 133544 150237 200316 300474 400632 450711 600948 901422 1118431 1201896 1802844 2236862 3355293 3605688 4473724 6710586 8947448 10065879 13421172 20131758 26842344 30197637 40263516 60395274 80527032 120790548 241581096