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241014956 = 22713231253
BaseRepresentation
bin11100101110110…
…01100010101100
3121210111211100212
432113121202230
5443144434311
635525441552
75654410340
oct1627314254
9553454325
10241014956
11114057116
12688702b8
133ac17b00
142401b620
151625bc8b
hexe5d98ac

241014956 has 108 divisors (see below), whose sum is σ = 549518256. Its totient is φ = 90529920.

The previous prime is 241014947. The next prime is 241014973. The reversal of 241014956 is 659410142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4547426 + ... + 4547478.

It is an arithmetic number, because the mean of its divisors is an integer number (5088132).

Almost surely, 2241014956 is an apocalyptic number.

241014956 is a gapful number since it is divisible by the number (26) 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 241014956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274759128).

241014956 is an abundant number, since it is smaller than the sum of its proper divisors (308503300).

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

241014956 is a wasteful number, since it uses less digits than its factorization.

241014956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 241014956 is about 15524.6563891121. The cubic root of 241014956 is about 622.3212981453.

The spelling of 241014956 in words is "two hundred forty-one million, fourteen thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 31 52 53 62 91 106 124 169 182 212 217 338 364 371 403 434 676 689 742 806 868 961 1183 1378 1484 1612 1643 1922 2366 2756 2821 3286 3844 4732 4823 5239 5642 6572 6727 8957 9646 10478 11284 11501 12493 13454 17914 19292 20956 21359 23002 24986 26908 35828 36673 42718 46004 49972 50933 62699 73346 85436 87451 101866 125398 146692 149513 162409 174902 203732 250796 277667 299026 324818 349804 356531 555334 598052 649636 662129 713062 1110668 1136863 1324258 1426124 1943669 2273726 2648516 3887338 4547452 4634903 7774676 8607677 9269806 17215354 18539612 34430708 60253739 120507478 241014956