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241135956 = 2232172337463
BaseRepresentation
bin11100101111101…
…11000101010100
3121210201222100100
432113313011110
5443212322311
635532214100
75655423165
oct1627670524
9553658310
10241135956
1111412a016
126890a330
133ac5abc9
142404d76c
1516282a56
hexe5f7154

241135956 has 144 divisors (see below), whose sum is σ = 693149184. Its totient is φ = 70253568.

The previous prime is 241135907. The next prime is 241135967. The reversal of 241135956 is 659531142.

241135956 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2411359563 (a number of 26 digits) contains 333 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 241135956.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520581 + ... + 521043.

It is an arithmetic number, because the mean of its divisors is an integer number (4813536).

Almost surely, 2241135956 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 241135956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346574592).

241135956 is an abundant number, since it is smaller than the sum of its proper divisors (452013228).

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

241135956 is a wasteful number, since it uses less digits than its factorization.

241135956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 545 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 241135956 is about 15528.5529267862. The cubic root of 241135956 is about 622.4254248496.

The spelling of 241135956 in words is "two hundred forty-one million, one hundred thirty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 37 46 51 68 69 74 92 102 111 138 148 153 204 207 222 276 306 333 391 414 444 463 612 629 666 782 828 851 926 1173 1258 1332 1389 1564 1702 1852 1887 2346 2516 2553 2778 3404 3519 3774 4167 4692 5106 5556 5661 7038 7548 7659 7871 8334 10212 10649 11322 14076 14467 15318 15742 16668 17131 21298 22644 23613 28934 30636 31484 31947 34262 42596 43401 47226 51393 57868 63894 68524 70839 86802 94452 95841 102786 127788 130203 141678 154179 173604 181033 191682 205572 260406 283356 291227 308358 362066 383364 394013 520812 543099 582454 616716 724132 788026 873681 1086198 1164908 1182039 1576052 1629297 1747362 2172396 2364078 2621043 3258594 3494724 3546117 4728156 5242086 6517188 6698221 7092234 10484172 13396442 14184468 20094663 26792884 40189326 60283989 80378652 120567978 241135956