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241936640 = 2851117183
BaseRepresentation
bin11100110101110…
…10100100000000
3121212020122200022
432122322210000
5443413433030
640001313012
75665266431
oct1632724400
9555218608
10241936640
11114626640
1269035768
133b17b49a
14241bb488
151638ede5
hexe6ba900

241936640 has 72 divisors (see below), whose sum is σ = 632233728. Its totient is φ = 87971840.

The previous prime is 241936637. The next prime is 241936649. The reversal of 241936640 is 46639142.

It is a self number, because there is not a number n which added to its sum of digits gives 241936640.

It is not an unprimeable number, because it can be changed into a prime (241936649) 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, 5489 + ... + 22671.

It is an arithmetic number, because the mean of its divisors is an integer number (8781024).

Almost surely, 2241936640 is an apocalyptic number.

241936640 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 241936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316116864).

241936640 is an abundant number, since it is smaller than the sum of its proper divisors (390297088).

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

241936640 is a wasteful number, since it uses less digits than its factorization.

241936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17215 (or 17201 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 241936640 is about 15554.3125852607. The cubic root of 241936640 is about 623.1135781218.

The spelling of 241936640 in words is "two hundred forty-one million, nine hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 14080 17183 34366 68732 85915 137464 171830 189013 274928 343660 378026 549856 687320 756052 945065 1099712 1374640 1512104 1890130 2199424 2749280 3024208 3780260 4398848 5498560 6048416 7560520 10997120 12096832 15121040 21994240 24193664 30242080 48387328 60484160 120968320 241936640