[go: up one dir, main page]

Search a number
-
+
240493696 = 2717791399
BaseRepresentation
bin11100101010110…
…10010010000000
3121202112100022221
432111122102000
5443031244241
635510340424
75650106542
oct1625322200
9552470287
10240493696
11113830523
126865a714
133aa94781
1423d23692
15161a75d1
hexe55a480

240493696 has 64 divisors (see below), whose sum is σ = 514080000. Its totient is φ = 111661056.

The previous prime is 240493667. The next prime is 240493703. The reversal of 240493696 is 696394042.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171205 + ... + 172603.

It is an arithmetic number, because the mean of its divisors is an integer number (8032500).

Almost surely, 2240493696 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 240493696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257040000).

240493696 is an abundant number, since it is smaller than the sum of its proper divisors (273586304).

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

240493696 is a wasteful number, since it uses less digits than its factorization.

240493696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The square root of 240493696 is about 15507.8591688215. The cubic root of 240493696 is about 621.8723283001.

It can be divided in two parts, 2404 and 93696, that added together give a square (96100 = 3102).

The spelling of 240493696 in words is "two hundred forty million, four hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 79 128 136 158 272 316 544 632 1088 1264 1343 1399 2176 2528 2686 2798 5056 5372 5596 10112 10744 11192 21488 22384 23783 42976 44768 47566 85952 89536 95132 110521 171904 179072 190264 221042 380528 442084 761056 884168 1522112 1768336 1878857 3044224 3536672 3757714 7073344 7515428 14146688 15030856 30061712 60123424 120246848 240493696