Search a number
-
+
109027632 = 24371312477
BaseRepresentation
bin1100111111110…
…10000100110000
321121011011210110
412133322010300
5210402341012
614452501320
72462501550
oct637720460
9247134713
10109027632
11565a808a
123061a840
13197848bc
14106a1160
15988973c
hex67fa130

109027632 has 80 divisors (see below), whose sum is σ = 324479232. Its totient is φ = 30900480.

The previous prime is 109027631. The next prime is 109027637. The reversal of 109027632 is 236720901.

It is a super-3 number, since 3×1090276323 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 109027632.

It is not an unprimeable number, because it can be changed into a prime (109027631) 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, 42778 + ... + 45254.

Almost surely, 2109027632 is an apocalyptic number.

109027632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109027632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162239616).

109027632 is an abundant number, since it is smaller than the sum of its proper divisors (215451600).

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

109027632 is a wasteful number, since it uses less digits than its factorization.

109027632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 109027632 is about 10441.6297578491. The cubic root of 109027632 is about 477.7259798582.

The spelling of 109027632 in words is "one hundred nine million, twenty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 131 168 262 336 393 524 786 917 1048 1572 1834 2096 2477 2751 3144 3668 4954 5502 6288 7336 7431 9908 11004 14672 14862 17339 19816 22008 29724 34678 39632 44016 52017 59448 69356 104034 118896 138712 208068 277424 324487 416136 648974 832272 973461 1297948 1946922 2271409 2595896 3893844 4542818 5191792 6814227 7787688 9085636 13628454 15575376 18171272 27256908 36342544 54513816 109027632