Search a number
-
+
1153100040 = 233543223469
BaseRepresentation
bin100010010111010…
…1110100100001000
32222100202112212220
41010232232210020
54330143200130
6310230534040
740401121461
oct10456564410
92870675786
101153100040
11541993144
12282207320
13154b83121
14ad201d68
156b374410
hex44bae908

1153100040 has 64 divisors (see below), whose sum is σ = 3539764800. Its totient is φ = 300340992.

The previous prime is 1153100027. The next prime is 1153100041. The reversal of 1153100040 is 400013511.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 1153099992 and 1153100019.

It is not an unprimeable number, because it can be changed into a prime (1153100041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106575 + ... + 116894.

It is an arithmetic number, because the mean of its divisors is an integer number (55308825).

Almost surely, 21153100040 is an apocalyptic number.

1153100040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1153100040 is an abundant number, since it is smaller than the sum of its proper divisors (2386664760).

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

1153100040 is a wasteful number, since it uses less digits than its factorization.

1153100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223526 (or 223522 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1153100040 is about 33957.3267499077. The cubic root of 1153100040 is about 1048.6301228711.

Adding to 1153100040 its reverse (400013511), we get a palindrome (1553113551).

The spelling of 1153100040 in words is "one billion, one hundred fifty-three million, one hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 223469 446938 670407 893876 1117345 1340814 1787752 2234690 2681628 3352035 4469380 5363256 6704070 8938760 9609167 13408140 19218334 26816280 28827501 38436668 48045835 57655002 76873336 96091670 115310004 144137505 192183340 230620008 288275010 384366680 576550020 1153100040