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107233308 = 22347133637
BaseRepresentation
bin1100110010001…
…00000000011100
321110210000110000
412121010000130
5204422431213
614350214300
72441316360
oct631040034
9243700400
10107233308
1155591a76
122bab4390
13192a6c80
14103552a0
159632c73
hex664401c

107233308 has 120 divisors (see below), whose sum is σ = 345115232. Its totient is φ = 28273536.

The previous prime is 107233307. The next prime is 107233361. The reversal of 107233308 is 803332701.

It is a super-2 number, since 2×1072333082 = 22997964689245728, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107233307) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27666 + ... + 31302.

Almost surely, 2107233308 is an apocalyptic number.

107233308 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 107233308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172557616).

107233308 is an abundant number, since it is smaller than the sum of its proper divisors (237881924).

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

107233308 is a wasteful number, since it uses less digits than its factorization.

107233308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 107233308 is about 10355.3516598906. The cubic root of 107233308 is about 475.0907424052.

The spelling of 107233308 in words is "one hundred seven million, two hundred thirty-three thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 2106 2268 2457 3276 3637 4212 4914 7274 7371 9828 10911 14548 14742 21822 25459 29484 32733 43644 47281 50918 65466 76377 94562 98199 101836 130932 141843 152754 189124 196398 229131 283686 294597 305508 330967 392796 425529 458262 567372 589194 661934 687393 851058 916524 992901 1178388 1276587 1323868 1374786 1702116 1985802 2062179 2553174 2749572 2978703 3829761 3971604 4124358 5106348 5957406 7659522 8248716 8936109 11914812 15319044 17872218 26808327 35744436 53616654 107233308