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18107136 = 283229271
BaseRepresentation
bin100010100010…
…0101100000000
31021001221022200
41011010230000
514113412021
61444033200
7306623325
oct105045400
937057280
1018107136
11a248183
126092800
13399c9a8
142594b4c
1518ca126
hex1144b00

18107136 has 108 divisors (see below), whose sum is σ = 54206880. Its totient is φ = 5806080.

The previous prime is 18107119. The next prime is 18107143. The reversal of 18107136 is 63170181.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66681 + ... + 66951.

Almost surely, 218107136 is an apocalyptic number.

18107136 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 18107136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27103440).

18107136 is an abundant number, since it is smaller than the sum of its proper divisors (36099744).

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

18107136 is a wasteful number, since it uses less digits than its factorization.

18107136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 18107136 is about 4255.2480538742. The cubic root of 18107136 is about 262.5930663202.

The spelling of 18107136 in words is "eighteen million, one hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 271 288 348 384 464 522 542 576 696 768 813 928 1044 1084 1152 1392 1626 1856 2088 2168 2304 2439 2784 3252 3712 4176 4336 4878 5568 6504 7424 7859 8352 8672 9756 11136 13008 15718 16704 17344 19512 22272 23577 26016 31436 33408 34688 39024 47154 52032 62872 66816 69376 70731 78048 94308 104064 125744 141462 156096 188616 208128 251488 282924 312192 377232 502976 565848 624384 754464 1005952 1131696 1508928 2011904 2263392 3017856 4526784 6035712 9053568 18107136