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1106711040 = 2935144103
BaseRepresentation
bin100000111110111…
…0001001000000000
32212010110202010210
41001331301020000
54231304223130
6301452354120
736265613541
oct10175611000
92763422123
101106711040
11518789426
1226a775940
13148390506
14a6da84c8
156725e5b0
hex41f71200

1106711040 has 80 divisors (see below), whose sum is σ = 3538041408. Its totient is φ = 295120896.

The previous prime is 1106711003. The next prime is 1106711083. The reversal of 1106711040 is 401176011.

1106711040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1106710998 and 1106711016.

It is a congruent number.

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, 64372 + ... + 79731.

Almost surely, 21106711040 is an apocalyptic number.

1106711040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106711040 is an abundant number, since it is smaller than the sum of its proper divisors (2431330368).

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

1106711040 is an equidigital number, since it uses as much as digits as its factorization.

1106711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144129 (or 144113 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 1106711040 is about 33267.2667948541. The cubic root of 1106711040 is about 1034.3751555328.

Adding to 1106711040 its reverse (401176011), we get a palindrome (1507887051).

The spelling of 1106711040 in words is "one billion, one hundred six million, seven hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 144103 288206 432309 576412 720515 864618 1152824 1441030 1729236 2161545 2305648 2882060 3458472 4323090 4611296 5764120 6916944 8646180 9222592 11528240 13833888 17292360 18445184 23056480 27667776 34584720 36890368 46112960 55335552 69169440 73780736 92225920 110671104 138338880 184451840 221342208 276677760 368903680 553355520 1106711040