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241956 = 2232111347
BaseRepresentation
bin111011000100100100
3110021220100
4323010210
530220311
65104100
72025261
oct730444
9407810
10241956
11155870
12b8030
1386190
1464268
154ba56
hex3b124

241956 has 72 divisors (see below), whose sum is σ = 733824. Its totient is φ = 66240.

The previous prime is 241951. The next prime is 241963. The reversal of 241956 is 659142.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (241951) by changing a digit.

241956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5125 + ... + 5171.

It is an arithmetic number, because the mean of its divisors is an integer number (10192).

2241956 is an apocalyptic number.

241956 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 241956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366912).

241956 is an abundant number, since it is smaller than the sum of its proper divisors (491868).

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

241956 is a wasteful number, since it uses less digits than its factorization.

241956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 76 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 241956 is about 491.8902316574. The cubic root of 241956 is about 62.3130198392.

The spelling of 241956 in words is "two hundred forty-one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 47 52 66 78 94 99 117 132 141 143 156 188 198 234 282 286 396 423 429 468 517 564 572 611 846 858 1034 1222 1287 1551 1692 1716 1833 2068 2444 2574 3102 3666 4653 5148 5499 6204 6721 7332 9306 10998 13442 18612 20163 21996 26884 40326 60489 80652 120978 241956