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241005440 = 2751383349
BaseRepresentation
bin11100101110101…
…11001110000000
3121210111100022102
432113113032000
5443144133230
635525325532
75654340524
oct1627271600
9553440272
10241005440
1111404aa55
12688668a8
133ac13690
1424017d84
1516259045
hexe5d7380

241005440 has 128 divisors (see below), whose sum is σ = 629748000. Its totient is φ = 87662592.

The previous prime is 241005397. The next prime is 241005451. The reversal of 241005440 is 44500142.

241005440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690386 + ... + 690734.

Almost surely, 2241005440 is an apocalyptic number.

241005440 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 241005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314874000).

241005440 is an abundant number, since it is smaller than the sum of its proper divisors (388742560).

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

241005440 is a wasteful number, since it uses less digits than its factorization.

241005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 241005440 is about 15524.3499058737. The cubic root of 241005440 is about 622.3131076614.

Adding to 241005440 its reverse (44500142), we get a palindrome (285505582).

The spelling of 241005440 in words is "two hundred forty-one million, five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 83 104 128 130 160 166 208 260 320 332 349 415 416 520 640 664 698 830 832 1040 1079 1328 1396 1660 1664 1745 2080 2158 2656 2792 3320 3490 4160 4316 4537 5312 5395 5584 6640 6980 8320 8632 9074 10624 10790 11168 13280 13960 17264 18148 21580 22336 22685 26560 27920 28967 34528 36296 43160 44672 45370 53120 55840 57934 69056 72592 86320 90740 111680 115868 138112 144835 145184 172640 181480 223360 231736 289670 290368 345280 362960 376571 463472 579340 580736 690560 725920 753142 926944 1158680 1451840 1506284 1853888 1882855 2317360 2903680 3012568 3707776 3765710 4634720 6025136 7531420 9269440 12050272 15062840 18538880 24100544 30125680 48201088 60251360 120502720 241005440