[go: up one dir, main page]

Search a number
-
+
1205041104 = 24331927727
BaseRepresentation
bin100011111010011…
…0111011111010000
310002222111102122000
41013310313133100
54431442303404
6315324114000
741601452241
oct10764673720
93088442560
101205041104
1156923a243
12297695900
1316286ab97
14b6082cc8
1570bd4339
hex47d377d0

1205041104 has 120 divisors (see below), whose sum is σ = 3651016320. Its totient is φ = 380490048.

The previous prime is 1205041099. The next prime is 1205041111. The reversal of 1205041104 is 4011405021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152089 + ... + 159815.

It is an arithmetic number, because the mean of its divisors is an integer number (30425136).

Almost surely, 21205041104 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 1205041104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825508160).

1205041104 is an abundant number, since it is smaller than the sum of its proper divisors (2445975216).

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

1205041104 is a wasteful number, since it uses less digits than its factorization.

1205041104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7782 (or 7751 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1205041104 is about 34713.7019633458. The cubic root of 1205041104 is about 1064.1445381876.

Adding to 1205041104 its reverse (4011405021), we get a palindrome (5216446125).

The spelling of 1205041104 in words is "one billion, two hundred five million, forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 361 432 456 513 684 722 912 1026 1083 1368 1444 2052 2166 2736 2888 3249 4104 4332 5776 6498 7727 8208 8664 9747 12996 15454 17328 19494 23181 25992 30908 38988 46362 51984 61816 69543 77976 92724 123632 139086 146813 155952 185448 208629 278172 293626 370896 417258 440439 556344 587252 834516 880878 1112688 1174504 1321317 1669032 1761756 2349008 2642634 2789447 3338064 3523512 3963951 5285268 5578894 7047024 7927902 8368341 10570536 11157788 15855804 16736682 21141072 22315576 25105023 31711608 33473364 44631152 50210046 63423216 66946728 75315069 100420092 133893456 150630138 200840184 301260276 401680368 602520552 1205041104