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107444016 = 24333171113
BaseRepresentation
bin1100110011101…
…11011100110000
321111011201111000
412121313130300
5210001202031
614354522000
72443154601
oct631673460
9244151430
10107444016
1155716309
122bb96300
131934bb54
14103abda8
1596753e6
hex6677730

107444016 has 160 divisors (see below), whose sum is σ = 325693440. Its totient is φ = 33868800.

The previous prime is 107444009. The next prime is 107444059. The reversal of 107444016 is 610444701.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 950776 + ... + 950888.

It is an arithmetic number, because the mean of its divisors is an integer number (2035584).

Almost surely, 2107444016 is an apocalyptic number.

107444016 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 107444016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162846720).

107444016 is an abundant number, since it is smaller than the sum of its proper divisors (218249424).

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

107444016 is a wasteful number, since it uses less digits than its factorization.

107444016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 107444016 is about 10365.5205368568. The cubic root of 107444016 is about 475.4017151995.

Adding to 107444016 its reverse (610444701), we get a palindrome (717888717).

The spelling of 107444016 in words is "one hundred seven million, four hundred forty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 71 72 93 108 113 124 142 144 186 213 216 226 248 279 284 339 372 426 432 452 496 558 568 639 678 744 837 852 904 1017 1116 1136 1278 1356 1488 1674 1704 1808 1917 2034 2201 2232 2556 2712 3051 3348 3408 3503 3834 4068 4402 4464 5112 5424 6102 6603 6696 7006 7668 8023 8136 8804 10224 10509 12204 13206 13392 14012 15336 16046 16272 17608 19809 21018 24069 24408 26412 28024 30672 31527 32092 35216 39618 42036 48138 48816 52824 56048 59427 63054 64184 72207 79236 84072 94581 96276 105648 118854 126108 128368 144414 158472 168144 189162 192552 216621 237708 248713 252216 288828 316944 378324 385104 433242 475416 497426 504432 577656 746139 756648 866484 950832 994852 1155312 1492278 1513296 1732968 1989704 2238417 2984556 3465936 3979408 4476834 5969112 6715251 8953668 11938224 13430502 17907336 26861004 35814672 53722008 107444016