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109995776 = 281125367
BaseRepresentation
bin1101000111001…
…10011100000000
321122222100211122
412203212130000
5211124331101
614525331412
72503643252
oct643463400
9248870748
10109995776
11570a9500
1230a06b68
1319a33477
1410873cd2
1599cb51b
hex68e6700

109995776 has 108 divisors (see below), whose sum is σ = 249560136. Its totient is φ = 48322560.

The previous prime is 109995773. The next prime is 109995881. The reversal of 109995776 is 677599901.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109995773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1641695 + ... + 1641761.

It is an arithmetic number, because the mean of its divisors is an integer number (2310742).

Almost surely, 2109995776 is an apocalyptic number.

109995776 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 109995776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124780068).

109995776 is an abundant number, since it is smaller than the sum of its proper divisors (139564360).

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

109995776 is an equidigital number, since it uses as much as digits as its factorization.

109995776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1071630, while the sum is 53.

The square root of 109995776 is about 10487.8871084695. The cubic root of 109995776 is about 479.1358526104.

The spelling of 109995776 in words is "one hundred nine million, nine hundred ninety-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 67 88 106 121 128 134 176 212 242 256 268 352 424 484 536 583 704 737 848 968 1072 1166 1408 1474 1696 1936 2144 2332 2816 2948 3392 3551 3872 4288 4664 5896 6413 6784 7102 7744 8107 8576 9328 11792 12826 13568 14204 15488 16214 17152 18656 23584 25652 28408 30976 32428 37312 39061 47168 51304 56816 64856 74624 78122 94336 102608 113632 129712 149248 156244 188672 205216 227264 259424 312488 410432 429671 454528 518848 624976 820864 859342 909056 1037696 1249952 1641728 1718684 2075392 2499904 3437368 4999808 6874736 9999616 13749472 27498944 54997888 109995776