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241266740 = 225112137669
BaseRepresentation
bin11100110000101…
…11000000110100
3121210222121202012
432120113000310
5443231013430
635535103352
75656506401
oct1630270064
9553877665
10241266740
11114209300
1268971b58
133aca55b0
14240852a8
15162ab695
hexe617034

241266740 has 72 divisors (see below), whose sum is σ = 599824680. Its totient is φ = 80974080.

The previous prime is 241266721. The next prime is 241266763. The reversal of 241266740 is 47662142.

It can be written as a sum of positive squares in 4 ways, for example, as 37405456 + 203861284 = 6116^2 + 14278^2 .

It is a junction number, because it is equal to n+sod(n) for n = 241266697 and 241266706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27626 + ... + 35294.

Almost surely, 2241266740 is an apocalyptic number.

241266740 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 241266740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299912340).

241266740 is an abundant number, since it is smaller than the sum of its proper divisors (358557940).

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

241266740 is a wasteful number, since it uses less digits than its factorization.

241266740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7713 (or 7700 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 241266740 is about 15532.7634373282. The cubic root of 241266740 is about 622.5379320230.

The spelling of 241266740 in words is "two hundred forty-one million, two hundred sixty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 605 715 1210 1430 1573 2420 2860 3146 6292 7669 7865 15338 15730 30676 31460 38345 76690 84359 99697 153380 168718 199394 337436 398788 421795 498485 843590 927949 996970 1096667 1687180 1855898 1993940 2193334 3711796 4386668 4639745 5483335 9279490 10966670 12063337 18558980 21933340 24126674 48253348 60316685 120633370 241266740