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1105365640 = 235107271953
BaseRepresentation
bin100000111100010…
…1000101010001000
32212000221101121011
41001320220222020
54230433200030
6301403453304
736251311231
oct10170505210
92760841534
101105365640
11517a4a625
1226a227234
1314800c012
14a6b38088
1567095b2a
hex41e28a88

1105365640 has 64 divisors (see below), whose sum is σ = 2522223360. Its totient is φ = 435939840.

The previous prime is 1105365637. The next prime is 1105365643. The reversal of 1105365640 is 465635011.

It is an interprime number because it is at equal distance from previous prime (1105365637) and next prime (1105365643).

It is not an unprimeable number, because it can be changed into a prime (1105365643) by changing a digit.

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, 1159404 + ... + 1160356.

It is an arithmetic number, because the mean of its divisors is an integer number (39409740).

Almost surely, 21105365640 is an apocalyptic number.

1105365640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1105365640 is an abundant number, since it is smaller than the sum of its proper divisors (1416857720).

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

1105365640 is a wasteful number, since it uses less digits than its factorization.

1105365640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 1105365640 is about 33247.0395674562. The cubic root of 1105365640 is about 1033.9558311879.

The spelling of 1105365640 in words is "one billion, one hundred five million, three hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 107 214 271 428 535 542 856 953 1070 1084 1355 1906 2140 2168 2710 3812 4280 4765 5420 7624 9530 10840 19060 28997 38120 57994 101971 115988 144985 203942 231976 258263 289970 407884 509855 516526 579940 815768 1019710 1033052 1159880 1291315 2039420 2066104 2582630 4078840 5165260 10330520 27634141 55268282 110536564 138170705 221073128 276341410 552682820 1105365640