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1106507640 = 233571317271
BaseRepresentation
bin100000111110011…
…1111011101111000
32212010002102010110
41001330333131320
54231231221030
6301444144320
736264105540
oct10174773570
92763072113
101106507640
1151865a627
1226a6980a0
1314831ba64
14a6d54320
156721e1b0
hex41f3f778

1106507640 has 64 divisors (see below), whose sum is σ = 3793743360. Its totient is φ = 252915840.

The previous prime is 1106507627. The next prime is 1106507663. The reversal of 1106507640 is 467056011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1106507598 and 1106507607.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 657796 + ... + 659475.

It is an arithmetic number, because the mean of its divisors is an integer number (59277240).

Almost surely, 21106507640 is an apocalyptic number.

1106507640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106507640 is an abundant number, since it is smaller than the sum of its proper divisors (2687235720).

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

1106507640 is a wasteful number, since it uses less digits than its factorization.

1106507640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317292 (or 1317288 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1106507640 is about 33264.2095952993. The cubic root of 1106507640 is about 1034.3117831349.

The spelling of 1106507640 in words is "one billion, one hundred six million, five hundred seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1317271 2634542 3951813 5269084 6586355 7903626 9220897 10538168 13172710 15807252 18441794 19759065 26345420 27662691 31614504 36883588 39518130 46104485 52690840 55325382 73767176 79036260 92208970 110650764 138313455 158072520 184417940 221301528 276626910 368835880 553253820 1106507640