Search a number
-
+
1045951820 = 22541253587
BaseRepresentation
bin111110010101111…
…111010101001100
32200220010212011022
4332111333111030
54120230424240
6251442213312
734630305134
oct7625772514
92626125138
101045951820
1149745a0a1
12252354238
13138908b04
149ccadac4
1561c5b9b5
hex3e57f54c

1045951820 has 72 divisors (see below), whose sum is σ = 2297765232. Its totient is φ = 399792640.

The previous prime is 1045951817. The next prime is 1045951831. The reversal of 1045951820 is 281595401.

It is a super-2 number, since 2×10459518202 = 2188030419522624800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1781567 + ... + 1782153.

It is an arithmetic number, because the mean of its divisors is an integer number (31913406).

Almost surely, 21045951820 is an apocalyptic number.

1045951820 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 1045951820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148882616).

1045951820 is an abundant number, since it is smaller than the sum of its proper divisors (1251813412).

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

1045951820 is a wasteful number, since it uses less digits than its factorization.

1045951820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 35.

The square root of 1045951820 is about 32341.1783953523. The cubic root of 1045951820 is about 1015.0884664897.

The spelling of 1045951820 in words is "one billion, forty-five million, nine hundred fifty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 41 53 82 106 164 205 212 265 410 530 587 820 1060 1174 1681 2173 2348 2935 3362 4346 5870 6724 8405 8692 10865 11740 16810 21730 24067 31111 33620 43460 48134 62222 89093 96268 120335 124444 155555 178186 240670 311110 356372 445465 481340 622220 890930 986747 1275551 1781860 1973494 2551102 3946988 4933735 5102204 6377755 9867470 12755510 19734940 25511020 52297591 104595182 209190364 261487955 522975910 1045951820