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1106493264 = 24332561327
BaseRepresentation
bin100000111110011…
…1011111101010000
32212010001200102000
41001330323331100
54231230241024
6301443554000
736264015612
oct10174737520
92763050360
101106493264
1151864a848
1226a68b900
13148315356
14a6d4cdb2
1567219cc9
hex41f3bf50

1106493264 has 40 divisors (see below), whose sum is σ = 3176046720. Its totient is φ = 368830944.

The previous prime is 1106493211. The next prime is 1106493293. The reversal of 1106493264 is 4623946011.

1106493264 is a `hidden beast` number, since 1 + 1 + 0 + 649 + 3 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1280232 + ... + 1281095.

It is an arithmetic number, because the mean of its divisors is an integer number (79401168).

Almost surely, 21106493264 is an apocalyptic number.

It is an amenable number.

1106493264 is an abundant number, since it is smaller than the sum of its proper divisors (2069553456).

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

1106493264 is a wasteful number, since it uses less digits than its factorization.

1106493264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561344 (or 2561332 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1106493264 is about 33263.9935064929. The cubic root of 1106493264 is about 1034.3073037772.

The spelling of 1106493264 in words is "one billion, one hundred six million, four hundred ninety-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2561327 5122654 7683981 10245308 15367962 20490616 23051943 30735924 40981232 46103886 61471848 69155829 92207772 122943696 138311658 184415544 276623316 368831088 553246632 1106493264