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109264672 = 25114167113
BaseRepresentation
bin1101000001100…
…11111100100000
321121121012221201
412200303330200
5210432432142
614501530544
72464506616
oct640637440
9247535851
10109264672
115674a190
1230713a54
131983876a
14107236b6
1598d4ab7
hex6833f20

109264672 has 96 divisors (see below), whose sum is σ = 246141504. Its totient is φ = 47308800.

The previous prime is 109264619. The next prime is 109264679. The reversal of 109264672 is 276462901.

It is not an unprimeable number, because it can be changed into a prime (109264679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966888 + ... + 967000.

It is an arithmetic number, because the mean of its divisors is an integer number (2563974).

Almost surely, 2109264672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109264672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123070752).

109264672 is an abundant number, since it is smaller than the sum of its proper divisors (136876832).

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

109264672 is a wasteful number, since it uses less digits than its factorization.

109264672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 109264672 is about 10452.9743135626. The cubic root of 109264672 is about 478.0719416937.

The spelling of 109264672 in words is "one hundred nine million, two hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 67 82 88 113 134 164 176 226 268 328 352 451 452 536 656 737 902 904 1072 1243 1312 1474 1804 1808 2144 2486 2747 2948 3608 3616 4633 4972 5494 5896 7216 7571 9266 9944 10988 11792 14432 15142 18532 19888 21976 23584 30217 30284 37064 39776 43952 50963 60434 60568 74128 83281 87904 101926 120868 121136 148256 166562 203852 241736 242272 310411 333124 407704 483472 620822 666248 815408 966944 1241644 1332496 1630816 2483288 2664992 3414521 4966576 6829042 9933152 13658084 27316168 54632336 109264672