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109018944 = 2632474027
BaseRepresentation
bin1100111111101…
…11111101000000
321121010201212200
412133313331000
5210402101234
614452353200
72462434326
oct637677500
9247121780
10109018944
11565a1601
1230615800
1319780968
141069bd16
159886d99
hex67f7f40

109018944 has 84 divisors (see below), whose sum is σ = 319210944. Its totient is φ = 35557632.

The previous prime is 109018939. The next prime is 109018969. The reversal of 109018944 is 449810901.

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 = 109018899 and 109018908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25059 + ... + 29085.

Almost surely, 2109018944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109018944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159605472).

109018944 is an abundant number, since it is smaller than the sum of its proper divisors (210192000).

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

109018944 is a wasteful number, since it uses less digits than its factorization.

109018944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092 (or 4079 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 109018944 is about 10441.2137225516. The cubic root of 109018944 is about 477.7132901284.

The spelling of 109018944 in words is "one hundred nine million, eighteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 141 144 188 192 282 288 376 423 564 576 752 846 1128 1504 1692 2256 3008 3384 4027 4512 6768 8054 9024 12081 13536 16108 24162 27072 32216 36243 48324 64432 72486 96648 128864 144972 189269 193296 257728 289944 378538 386592 567807 579888 757076 773184 1135614 1159776 1514152 1703421 2271228 2319552 3028304 3406842 4542456 6056608 6813684 9084912 12113216 13627368 18169824 27254736 36339648 54509472 109018944