Search a number
-
+
241331160 = 233571915121
BaseRepresentation
bin11100110001001…
…10101111011000
3121211002220010010
432120212233120
5443240044120
635540321520
75660165250
oct1630465730
9554086103
10241331160
11114252744
12689a32a0
133acc8a05
14240a0960
15162c07e0
hexe626bd8

241331160 has 128 divisors (see below), whose sum is σ = 871027200. Its totient is φ = 52254720.

The previous prime is 241331147. The next prime is 241331171. The reversal of 241331160 is 61133142.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8400 + ... + 23520.

It is an arithmetic number, because the mean of its divisors is an integer number (6804900).

Almost surely, 2241331160 is an apocalyptic number.

241331160 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 241331160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435513600).

241331160 is an abundant number, since it is smaller than the sum of its proper divisors (629696040).

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

241331160 is a wasteful number, since it uses less digits than its factorization.

241331160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15161 (or 15157 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 241331160 is about 15534.8369801553. The cubic root of 241331160 is about 622.5933344996.

The spelling of 241331160 in words is "two hundred forty-one million, three hundred thirty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 15121 15960 30242 45363 60484 75605 90726 105847 120968 151210 181452 211694 226815 287299 302420 317541 362904 423388 453630 529235 574598 604840 635082 846776 861897 907260 1058470 1149196 1270164 1436495 1587705 1723794 1814520 2011093 2116940 2298392 2540328 2872990 3175410 3447588 4022186 4233880 4309485 5745980 6033279 6350820 6895176 8044372 8618970 10055465 11491960 12066558 12701640 16088744 17237940 20110930 24133116 30166395 34475880 40221860 48266232 60332790 80443720 120665580 241331160