Search a number
-
+
1041100410 = 235722921649
BaseRepresentation
bin111110000011011…
…110111001111010
32200120000101021110
4332003132321322
54113010203120
6251150221150
734541131110
oct7603367172
92616011243
101041100410
11494746169
122507b47b6
131378ca85c
149c3a9ab0
15615ee2e0
hex3e0dee7a

1041100410 has 64 divisors (see below), whose sum is σ = 2868192000. Its totient is φ = 236915712.

The previous prime is 1041100387. The next prime is 1041100469. The reversal of 1041100410 is 140011401.

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 31 ways as a sum of consecutive naturals, for example, 37266 + ... + 58914.

It is an arithmetic number, because the mean of its divisors is an integer number (44815500).

Almost surely, 21041100410 is an apocalyptic number.

1041100410 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 1041100410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434096000).

1041100410 is an abundant number, since it is smaller than the sum of its proper divisors (1827091590).

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

1041100410 is a wasteful number, since it uses less digits than its factorization.

1041100410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21895.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1041100410 is about 32266.0876153276. The cubic root of 1041100410 is about 1013.5166146386.

Adding to 1041100410 its reverse (140011401), we get a palindrome (1181111811).

The spelling of 1041100410 in words is "one billion, forty-one million, one hundred thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 229 458 687 1145 1374 1603 2290 3206 3435 4809 6870 8015 9618 16030 21649 24045 43298 48090 64947 108245 129894 151543 216490 303086 324735 454629 649470 757715 909258 1515430 2273145 4546290 4957621 9915242 14872863 24788105 29745726 34703347 49576210 69406694 74364315 104110041 148728630 173516735 208220082 347033470 520550205 1041100410