Search a number
-
+
1208380032 = 2734116549
BaseRepresentation
bin100100000000110…
…0110101010000000
310010012210001210000
41020001212222000
54433321130112
6315523440000
741642026566
oct11001465200
93105701700
101208380032
1157010a892
12298826000
13163469892
14b66b1a36
15711437dc
hex48066a80

1208380032 has 80 divisors (see below), whose sum is σ = 3596150250. Its totient is φ = 402789888.

The previous prime is 1208380021. The next prime is 1208380039. The reversal of 1208380032 is 2300838021.

It can be written as a sum of positive squares in only one way, i.e., 1063803456 + 144576576 = 32616^2 + 12024^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1208379978 and 1208380005.

It is not an unprimeable number, because it can be changed into a prime (1208380039) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 47907 + ... + 68642.

Almost surely, 21208380032 is an apocalyptic number.

1208380032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1208380032 is an abundant number, since it is smaller than the sum of its proper divisors (2387770218).

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

1208380032 is an equidigital number, since it uses as much as digits as its factorization.

1208380032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116575 (or 116554 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1208380032 is about 34761.7610601074. The cubic root of 1208380032 is about 1065.1264757552.

The spelling of 1208380032 in words is "one billion, two hundred eight million, three hundred eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 116549 233098 349647 466196 699294 932392 1048941 1398588 1864784 2097882 2797176 3146823 3729568 4195764 5594352 6293646 7459136 8391528 9440469 11188704 12587292 14918272 16783056 18880938 22377408 25174584 33566112 37761876 44754816 50349168 67132224 75523752 100698336 134264448 151047504 201396672 302095008 402793344 604190016 1208380032