Search a number
-
+
109393740 = 223754161
BaseRepresentation
bin1101000010100…
…11011101001100
321121211210000000
412201103131030
5211001044430
614504404300
72465555121
oct641233514
9247753000
10109393740
1156828155
1230776690
1319882431
1410758748
15990ce60
hex685374c

109393740 has 192 divisors, whose sum is σ = 358727040. Its totient is φ = 27993600.

The previous prime is 109393717. The next prime is 109393741. The reversal of 109393740 is 47393901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 109393695 and 109393704.

It is not an unprimeable number, because it can be changed into a prime (109393741) 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 63 ways as a sum of consecutive naturals, for example, 1793310 + ... + 1793370.

It is an arithmetic number, because the mean of its divisors is an integer number (1868370).

Almost surely, 2109393740 is an apocalyptic number.

109393740 is a gapful number since it is divisible by the number (10) 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 109393740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179363520).

109393740 is an abundant number, since it is smaller than the sum of its proper divisors (249333300).

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

109393740 is an equidigital number, since it uses as much as digits as its factorization.

109393740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 109393740 is about 10459.1462366677. The cubic root of 109393740 is about 478.2601071469.

The spelling of 109393740 in words is "one hundred nine million, three hundred ninety-three thousand, seven hundred forty".