Search a number
-
+
1155153930 = 235723125349
BaseRepresentation
bin100010011011010…
…0100000000001010
32222111121220021220
41010312210000022
54331204411210
6310342542510
740424434500
oct10466440012
92874556256
101155153930
11543066277
12282a37a36
13155421c48
14ad5b8670
156b62cc70
hex44da400a

1155153930 has 96 divisors (see below), whose sum is σ = 3329164800. Its totient is φ = 255507840.

The previous prime is 1155153929. The next prime is 1155153931. The reversal of 1155153930 is 393515511.

1155153930 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1155153929) and next prime (1155153931).

It is a junction number, because it is equal to n+sod(n) for n = 1155153891 and 1155153900.

It is not an unprimeable number, because it can be changed into a prime (1155153931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32896 + ... + 58244.

It is an arithmetic number, because the mean of its divisors is an integer number (34678800).

Almost surely, 21155153930 is an apocalyptic number.

1155153930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1155153930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664582400).

1155153930 is an abundant number, since it is smaller than the sum of its proper divisors (2174010870).

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

1155153930 is a wasteful number, since it uses less digits than its factorization.

1155153930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25404 (or 25397 counting only the distinct ones).

The product of its (nonzero) digits is 10125, while the sum is 33.

The square root of 1155153930 is about 33987.5555166888. Note that the first 4 decimals coincide. The cubic root of 1155153930 is about 1049.2523566623.

The spelling of 1155153930 in words is "one billion, one hundred fifty-five million, one hundred fifty-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 49 62 70 93 98 105 147 155 186 210 217 245 294 310 434 465 490 651 735 930 1085 1302 1470 1519 2170 3038 3255 4557 6510 7595 9114 15190 22785 25349 45570 50698 76047 126745 152094 177443 253490 354886 380235 532329 760470 785819 887215 1064658 1242101 1571638 1774430 2357457 2484202 2661645 3726303 3929095 4714914 5323290 5500733 6210505 7452606 7858190 11001466 11787285 12421010 16502199 18631515 23574570 27503665 33004398 37263030 38505131 55007330 77010262 82510995 115515393 165021990 192525655 231030786 385051310 577576965 1155153930