Search a number
-
+
109025728 = 267397613
BaseRepresentation
bin1100111111110…
…01100111000000
321121011002011221
412133321213000
5210402310403
614452444424
72462463160
oct637714700
9247132157
10109025728
11565a6709
1230619714
1319783a86
14106a05a0
159888dbd
hex67f99c0

109025728 has 56 divisors (see below), whose sum is σ = 248281952. Its totient is φ = 46531584.

The previous prime is 109025723. The next prime is 109025771. The reversal of 109025728 is 827520901.

It is a tau number, because it is divible by the number of its divisors (56).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 109025693 and 109025702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109025723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177550 + ... + 178162.

Almost surely, 2109025728 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 109025728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124140976).

109025728 is an abundant number, since it is smaller than the sum of its proper divisors (139256224).

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

109025728 is an equidigital number, since it uses as much as digits as its factorization.

109025728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 109025728 is about 10441.5385839444. The cubic root of 109025728 is about 477.7231989254.

The spelling of 109025728 in words is "one hundred nine million, twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 397 448 613 794 1226 1588 2452 2779 3176 4291 4904 5558 6352 8582 9808 11116 12704 17164 19616 22232 25408 34328 39232 44464 68656 88928 137312 177856 243361 274624 486722 973444 1703527 1946888 3407054 3893776 6814108 7787552 13628216 15575104 27256432 54512864 109025728