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109292976 = 2434132499
BaseRepresentation
bin1101000001110…
…10110110110000
321121122122210000
412200322312300
5210434333401
614502310000
72464655262
oct640726660
9247578700
10109292976
1156769481
1230728300
1319848600
141072db32
1598dd186
hex683adb0

109292976 has 150 divisors (see below), whose sum is σ = 343216500. Its totient is φ = 33561216.

The previous prime is 109292947. The next prime is 109292999. The reversal of 109292976 is 679292901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 218775 + ... + 219273.

It is an arithmetic number, because the mean of its divisors is an integer number (2288110).

Almost surely, 2109292976 is an apocalyptic number.

109292976 is a gapful number since it is divisible by the number (16) 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 109292976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171608250).

109292976 is an abundant number, since it is smaller than the sum of its proper divisors (233923524).

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

109292976 is a wasteful number, since it uses less digits than its factorization.

109292976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 109292976 is about 10454.3280989263. The cubic root of 109292976 is about 478.1132181641.

The spelling of 109292976 in words is "one hundred nine million, two hundred ninety-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 169 208 216 234 312 324 338 351 432 468 499 507 624 648 676 702 936 998 1014 1053 1296 1352 1404 1497 1521 1872 1996 2028 2106 2704 2808 2994 3042 3992 4056 4212 4491 4563 5616 5988 6084 6487 7984 8112 8424 8982 9126 11976 12168 12974 13473 13689 16848 17964 18252 19461 23952 24336 25948 26946 27378 35928 36504 38922 40419 51896 53892 54756 58383 71856 73008 77844 80838 84331 103792 107784 109512 116766 155688 161676 168662 175149 215568 219024 233532 252993 311376 323352 337324 350298 467064 505986 525447 646704 674648 700596 758979 934128 1011972 1050894 1349296 1401192 1517958 2023944 2101788 2276937 2802384 3035916 4047888 4203576 4553874 6071832 6830811 8407152 9107748 12143664 13661622 18215496 27323244 36430992 54646488 109292976