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107989728 = 25372112087
BaseRepresentation
bin1100110111111…
…00101011100000
321112012110001120
412123330223200
5210121132403
614414332240
72450616600
oct633745340
9245173046
10107989728
1155a59310
12301ba080
13194b0362
14104b0c00
159731e53
hex66fcae0

107989728 has 144 divisors (see below), whose sum is σ = 359904384. Its totient is φ = 28035840.

The previous prime is 107989697. The next prime is 107989741. The reversal of 107989728 is 827989701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50701 + ... + 52787.

It is an arithmetic number, because the mean of its divisors is an integer number (2499336).

Almost surely, 2107989728 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 107989728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179952192).

107989728 is an abundant number, since it is smaller than the sum of its proper divisors (251914656).

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

107989728 is a wasteful number, since it uses less digits than its factorization.

107989728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 51.

The square root of 107989728 is about 10391.8106218310. The cubic root of 107989728 is about 476.2052171640.

The spelling of 107989728 in words is "one hundred seven million, nine hundred eighty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 66 77 84 88 96 98 112 132 147 154 168 176 196 224 231 264 294 308 336 352 392 462 528 539 588 616 672 784 924 1056 1078 1176 1232 1568 1617 1848 2087 2156 2352 2464 3234 3696 4174 4312 4704 6261 6468 7392 8348 8624 12522 12936 14609 16696 17248 22957 25044 25872 29218 33392 43827 45914 50088 51744 58436 66784 68871 87654 91828 100176 102263 116872 137742 160699 175308 183656 200352 204526 233744 275484 306789 321398 350616 367312 409052 467488 482097 550968 613578 642796 701232 734624 818104 964194 1101936 1124893 1227156 1285592 1402464 1636208 1928388 2203872 2249786 2454312 2571184 3272416 3374679 3856776 4499572 4908624 5142368 6749358 7713552 8999144 9817248 13498716 15427104 17998288 26997432 35996576 53994864 107989728