Search a number
-
+
1105190672 = 241731131071
BaseRepresentation
bin100000111011111…
…1101111100010000
32212000121111120212
41001313331330100
54230412100142
6301400023252
736246652145
oct10167757420
92760544525
101105190672
11517940123
1226a161b28
13147c7a4a1
14a6ad03cc
156705dd82
hex41dfdf10

1105190672 has 40 divisors (see below), whose sum is σ = 2340421632. Its totient is φ = 503308800.

The previous prime is 1105190657. The next prime is 1105190701. The reversal of 1105190672 is 2760915011.

It is a super-3 number, since 3×11051906723 (a number of 28 digits) contains 333 as substring.

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, 57104 + ... + 73967.

Almost surely, 21105190672 is an apocalyptic number.

It is an amenable number.

1105190672 is an abundant number, since it is smaller than the sum of its proper divisors (1235230960).

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

1105190672 is a wasteful number, since it uses less digits than its factorization.

1105190672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131127 (or 131121 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 32.

The square root of 1105190672 is about 33244.4081312933. The cubic root of 1105190672 is about 1033.9012734549.

The spelling of 1105190672 in words is "one billion, one hundred five million, one hundred ninety thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 1054 2108 4216 8432 131071 262142 524284 1048568 2097136 2228207 4063201 4456414 8126402 8912828 16252804 17825656 32505608 35651312 65011216 69074417 138148834 276297668 552595336 1105190672