Search a number
-
+
153015040 = 285173691
BaseRepresentation
bin10010001111011…
…01001100000000
3101122220222011201
421013231030000
5303132440130
623103350544
73535414663
oct1107551400
9348828151
10153015040
1179411512
12432b2454
1325916359
14164716da
15d677bca
hex91ed300

153015040 has 72 divisors (see below), whose sum is σ = 369170928. Its totient is φ = 60764160.

The previous prime is 153015007. The next prime is 153015059. The reversal of 153015040 is 40510351.

It is a junction number, because it is equal to n+sod(n) for n = 153014999 and 153015017.

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, 221095 + ... + 221785.

It is an arithmetic number, because the mean of its divisors is an integer number (5127374).

Almost surely, 2153015040 is an apocalyptic number.

153015040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184585464).

153015040 is an abundant number, since it is smaller than the sum of its proper divisors (216155888).

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

153015040 is an equidigital number, since it uses as much as digits as its factorization.

153015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 153015040 is about 12369.9248178799. The cubic root of 153015040 is about 534.8656488564.

Adding to 153015040 its reverse (40510351), we get a palindrome (193525391).

The spelling of 153015040 in words is "one hundred fifty-three million, fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 173 256 320 346 640 691 692 865 1280 1382 1384 1730 2764 2768 3455 3460 5528 5536 6910 6920 11056 11072 13820 13840 22112 22144 27640 27680 44224 44288 55280 55360 88448 110560 110720 119543 176896 221120 221440 239086 442240 478172 597715 884480 956344 1195430 1912688 2390860 3825376 4781720 7650752 9563440 15301504 19126880 30603008 38253760 76507520 153015040