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1041705056 = 25717299433
BaseRepresentation
bin111110000101110…
…010100001100000
32200121011002200202
4332011302201200
54113134030211
6251211204332
734546226660
oct7605624140
92617132622
101041705056
11495019477
12250a466a8
13137a7cb32
149c4c61a0
15616bd53b
hex3e172860

1041705056 has 96 divisors (see below), whose sum is σ = 2567557440. Its totient is φ = 405651456.

The previous prime is 1041705037. The next prime is 1041705097. The reversal of 1041705056 is 6505071401.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

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, 105716 + ... + 115148.

It is an arithmetic number, because the mean of its divisors is an integer number (26745390).

Almost surely, 21041705056 is an apocalyptic number.

1041705056 is a gapful number since it is divisible by the number (16) 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 1041705056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283778720).

1041705056 is an abundant number, since it is smaller than the sum of its proper divisors (1525852384).

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

1041705056 is a wasteful number, since it uses less digits than its factorization.

1041705056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9496 (or 9488 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 1041705056 is about 32275.4559379105. The cubic root of 1041705056 is about 1013.7127853322.

Adding to 1041705056 its reverse (6505071401), we get a palindrome (7546776457).

The spelling of 1041705056 in words is "one billion, forty-one million, seven hundred five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 29 32 34 56 58 68 112 116 119 136 203 224 232 238 272 406 464 476 493 544 812 928 952 986 1624 1904 1972 3248 3451 3808 3944 6496 6902 7888 9433 13804 15776 18866 27608 37732 55216 66031 75464 110432 132062 150928 160361 264124 273557 301856 320722 528248 547114 641444 1056496 1094228 1122527 1282888 1914899 2112992 2188456 2245054 2565776 3829798 4376912 4490108 4650469 5131552 7659596 8753824 8980216 9300938 15319192 17960432 18601876 30638384 32553283 35920864 37203752 61276768 65106566 74407504 130213132 148815008 260426264 520852528 1041705056