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107689428 = 223271153733
BaseRepresentation
bin1100110101100…
…11010111010100
321111122012010100
412122303113110
5210032030203
614404054100
72445226230
oct632632724
9244565110
10107689428
1155873730
1230094330
1319406772
14104335c0
1596c2ea3
hex66b35d4

107689428 has 144 divisors (see below), whose sum is σ = 346260096. Its totient is φ = 27406080.

The previous prime is 107689423. The next prime is 107689433. The reversal of 107689428 is 824986701.

It is an interprime number because it is at equal distance from previous prime (107689423) and next prime (107689433).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107689423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146550 + ... + 147282.

It is an arithmetic number, because the mean of its divisors is an integer number (2404584).

Almost surely, 2107689428 is an apocalyptic number.

107689428 is a gapful number since it is divisible by the number (18) 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 107689428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173130048).

107689428 is an abundant number, since it is smaller than the sum of its proper divisors (238570668).

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

107689428 is a wasteful number, since it uses less digits than its factorization.

107689428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 107689428 is about 10377.3516852808. The cubic root of 107689428 is about 475.7633936960.

The spelling of 107689428 in words is "one hundred seven million, six hundred eighty-nine thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 53 63 66 77 84 99 106 126 132 154 159 198 212 231 252 308 318 371 396 462 477 583 636 693 733 742 924 954 1113 1166 1386 1466 1484 1749 1908 2199 2226 2332 2772 2932 3339 3498 4081 4398 4452 5131 5247 6597 6678 6996 8063 8162 8796 10262 10494 12243 13194 13356 15393 16126 16324 20524 20988 24189 24486 26388 30786 32252 36729 38849 46179 48378 48972 56441 61572 72567 73458 77698 92358 96756 112882 116547 145134 146916 155396 169323 184716 225764 233094 271943 290268 338646 349641 427339 466188 507969 543886 677292 699282 815829 854678 1015938 1087772 1282017 1398564 1631658 1709356 2031876 2447487 2564034 2991373 3263316 3846051 4894974 5128068 5982746 7692102 8974119 9789948 11965492 15384204 17948238 26922357 35896476 53844714 107689428