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117772110 = 23353711789
BaseRepresentation
bin1110000010100…
…00111101001110
322012121102222000
413001100331032
5220122201420
615404133130
72630021631
oct701207516
9265542860
10117772110
116052aa25
12335371a6
131b526b51
14118d9c18
15a515690
hex7050f4e

117772110 has 64 divisors (see below), whose sum is σ = 322574400. Its totient is φ = 30554496.

The previous prime is 117772097. The next prime is 117772111. The reversal of 117772110 is 11277711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117772111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4096 + ... + 15884.

It is an arithmetic number, because the mean of its divisors is an integer number (5040225).

Almost surely, 2117772110 is an apocalyptic number.

117772110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117772110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161287200).

117772110 is an abundant number, since it is smaller than the sum of its proper divisors (204802290).

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

117772110 is a wasteful number, since it uses less digits than its factorization.

117772110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11842 (or 11836 counting only the distinct ones).

The product of its (nonzero) digits is 686, while the sum is 27.

The square root of 117772110 is about 10852.2859343090. The cubic root of 117772110 is about 490.1708553151.

The spelling of 117772110 in words is "one hundred seventeen million, seven hundred seventy-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1665 1998 3330 4995 9990 11789 23578 35367 58945 70734 106101 117890 176835 212202 318303 353670 436193 530505 636606 872386 1061010 1308579 1591515 2180965 2617158 3183030 3925737 4361930 6542895 7851474 11777211 13085790 19628685 23554422 39257370 58886055 117772110