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241929680 = 245372472
BaseRepresentation
bin11100110101110…
…00110111010000
3121212020022010112
432122320313100
5443413222210
640001220452
75665240226
oct1632706720
9555208115
10241929680
11114621393
1269031728
133b178275
14241b8b16
151638cd05
hexe6b8dd0

241929680 has 90 divisors (see below), whose sum is σ = 590661414. Its totient is φ = 92153088.

The previous prime is 241929659. The next prime is 241929689. The reversal of 241929680 is 86929142.

It can be written as a sum of positive squares in 3 ways, for example, as 118897216 + 123032464 = 10904^2 + 11092^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241929689) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5147417 + ... + 5147463.

Almost surely, 2241929680 is an apocalyptic number.

241929680 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 241929680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295330707).

241929680 is an abundant number, since it is smaller than the sum of its proper divisors (348731734).

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

241929680 is an equidigital number, since it uses as much as digits as its factorization.

241929680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 241929680 is about 15554.0888514885. The cubic root of 241929680 is about 623.1076028492.

The spelling of 241929680 in words is "two hundred forty-one million, nine hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 47 74 80 94 148 185 188 235 296 370 376 470 592 740 752 940 1369 1480 1739 1880 2209 2738 2960 3478 3760 4418 5476 6845 6956 8695 8836 10952 11045 13690 13912 17390 17672 21904 22090 27380 27824 34780 35344 44180 54760 64343 69560 81733 88360 109520 128686 139120 163466 176720 257372 321715 326932 408665 514744 643430 653864 817330 1029488 1286860 1307728 1634660 2573720 3024121 3269320 5147440 6048242 6538640 12096484 15120605 24192968 30241210 48385936 60482420 120964840 241929680