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18917064 = 233537263
BaseRepresentation
bin100100000101…
…0011011001000
31022121002100000
41020022123020
514320321224
61513243000
7316535535
oct110123310
938532300
1018917064
11a750741
126403460
133bc453a
142725d8c
1519da0c9
hex120a6c8

18917064 has 96 divisors (see below), whose sum is σ = 54774720. Its totient is φ = 6111936.

The previous prime is 18917057. The next prime is 18917069. The reversal of 18917064 is 46071981.

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

It is not an unprimeable number, because it can be changed into a prime (18917069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71797 + ... + 72059.

It is an arithmetic number, because the mean of its divisors is an integer number (570570).

Almost surely, 218917064 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 18917064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27387360).

18917064 is an abundant number, since it is smaller than the sum of its proper divisors (35857656).

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

18917064 is a wasteful number, since it uses less digits than its factorization.

18917064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 18917064 is about 4349.3751275327. The cubic root of 18917064 is about 266.4513414560.

The spelling of 18917064 in words is "eighteen million, nine hundred seventeen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 243 263 296 324 333 444 486 526 648 666 789 888 972 999 1052 1332 1578 1944 1998 2104 2367 2664 2997 3156 3996 4734 5994 6312 7101 7992 8991 9468 9731 11988 14202 17982 18936 19462 21303 23976 28404 29193 35964 38924 42606 56808 58386 63909 71928 77848 85212 87579 116772 127818 170424 175158 233544 255636 262737 350316 511272 525474 700632 788211 1050948 1576422 2101896 2364633 3152844 4729266 6305688 9458532 18917064