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1105282464 = 253111380513
BaseRepresentation
bin100000111100001…
…0100010110100000
32212000210011111120
41001320110112200
54230423014324
6301402012240
736250513566
oct10170242640
92760704446
101105282464
115179a3090
1226a1a7080
13147cb01c0
14a6b15a36
156707b179
hex41e145a0

1105282464 has 96 divisors (see below), whose sum is σ = 3408640704. Its totient is φ = 309166080.

The previous prime is 1105282439. The next prime is 1105282483. The reversal of 1105282464 is 4642825011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11052824642 = 2443298650451822592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 26529 + ... + 53984.

It is an arithmetic number, because the mean of its divisors is an integer number (35506674).

Almost surely, 21105282464 is an apocalyptic number.

It is an amenable number.

1105282464 is an abundant number, since it is smaller than the sum of its proper divisors (2303358240).

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

1105282464 is a wasteful number, since it uses less digits than its factorization.

1105282464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80550 (or 80542 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 1105282464 is about 33245.7886656340. The cubic root of 1105282464 is about 1033.9298963405.

The spelling of 1105282464 in words is "one billion, one hundred five million, two hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 80513 161026 241539 322052 483078 644104 885643 966156 1046669 1288208 1771286 1932312 2093338 2576416 2656929 3140007 3542572 3864624 4186676 5313858 6280014 7085144 7729248 8373352 10627716 11513359 12560028 14170288 16746704 21255432 23026718 25120056 28340576 33493408 34540077 42510864 46053436 50240112 69080154 85021728 92106872 100480224 138160308 184213744 276320616 368427488 552641232 1105282464