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241004160 = 273454649
BaseRepresentation
bin11100101110101…
…10111010000000
3121210111021120000
432113112322000
5443144113120
635525320000
75654334015
oct1627267200
9553437500
10241004160
11114049aa1
1268866000
133ac12c17
142401770c
1516258990
hexe5d6e80

241004160 has 160 divisors (see below), whose sum is σ = 860854500. Its totient is φ = 64253952.

The previous prime is 241004149. The next prime is 241004167. The reversal of 241004160 is 61400142.

241004160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 226442304 + 14561856 = 15048^2 + 3816^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (241004167) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49516 + ... + 54164.

Almost surely, 2241004160 is an apocalyptic number.

241004160 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 241004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430427250).

241004160 is an abundant number, since it is smaller than the sum of its proper divisors (619850340).

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

241004160 is an equidigital number, since it uses as much as digits as its factorization.

241004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4680 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 241004160 is about 15524.3086802601. The cubic root of 241004160 is about 622.3120059405.

The spelling of 241004160 in words is "two hundred forty-one million, four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 4649 5184 5760 6480 8640 9298 10368 12960 13947 17280 18596 23245 25920 27894 37192 41841 46490 51840 55788 69735 74384 83682 92980 111576 125523 139470 148768 167364 185960 209205 223152 251046 278940 297536 334728 371920 376569 418410 446304 502092 557880 595072 627615 669456 743840 753138 836820 892608 1004184 1115760 1255230 1338912 1487680 1506276 1673640 1785216 1882845 2008368 2231520 2510460 2677824 2975360 3012552 3347280 3765690 4016736 4463040 5020920 5355648 6025104 6694560 7531380 8033472 8926080 10041840 12050208 13389120 15062760 16066944 20083680 24100416 26778240 30125520 40167360 48200832 60251040 80334720 120502080 241004160