Search a number
-
+
1041325020 = 2232519304481
BaseRepresentation
bin111110000100010…
…101101111011100
32200120102210101100
4332010111233130
54113034400040
6251155113100
734543055001
oct7604255734
92616383340
101041325020
1149488999a
122508a2790
13137978b68
149c4278a8
1561645b30
hex3e115bdc

1041325020 has 72 divisors (see below), whose sum is σ = 3324943440. Its totient is φ = 263070720.

The previous prime is 1041325013. The next prime is 1041325031. The reversal of 1041325020 is 205231401.

1041325020 is a `hidden beast` number, since 1 + 0 + 413 + 250 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1041324984 and 1041325002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148821 + ... + 155660.

It is an arithmetic number, because the mean of its divisors is an integer number (46179770).

Almost surely, 21041325020 is an apocalyptic number.

1041325020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1041325020 is an abundant number, since it is smaller than the sum of its proper divisors (2283618420).

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

1041325020 is a wasteful number, since it uses less digits than its factorization.

1041325020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304515 (or 304510 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1041325020 is about 32269.5680169413. The cubic root of 1041325020 is about 1013.5894957285.

Adding to 1041325020 its reverse (205231401), we get a palindrome (1246556421).

The spelling of 1041325020 in words is "one billion, forty-one million, three hundred twenty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 304481 608962 913443 1217924 1522405 1826886 2740329 3044810 3653772 4567215 5480658 5785139 6089620 9134430 10961316 11570278 13701645 17355417 18268860 23140556 27403290 28925695 34710834 52066251 54806580 57851390 69421668 86777085 104132502 115702780 173554170 208265004 260331255 347108340 520662510 1041325020