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107445690 = 23451131389
BaseRepresentation
bin1100110011101…
…11110110111010
321111011210210000
412121313312322
5210001230230
614354533430
72443162512
oct631676672
9244153700
10107445690
11557175a0
122bb97276
131934c841
14103ac842
159675b60
hex6677dba

107445690 has 160 divisors (see below), whose sum is σ = 326177280. Its totient is φ = 25142400.

The previous prime is 107445647. The next prime is 107445739. The reversal of 107445690 is 96544701.

It is a super-2 number, since 2×1074456902 = 23089152599152200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 276016 + ... + 276404.

It is an arithmetic number, because the mean of its divisors is an integer number (2038608).

Almost surely, 2107445690 is an apocalyptic number.

107445690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107445690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163088640).

107445690 is an abundant number, since it is smaller than the sum of its proper divisors (218731590).

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

107445690 is a wasteful number, since it uses less digits than its factorization.

107445690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 107445690 is about 10365.6012850196. The cubic root of 107445690 is about 475.4041841390.

It can be divided in two parts, 1074 and 45690, that added together give a palindrome (46764).

The spelling of 107445690 in words is "one hundred seven million, four hundred forty-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 31 33 45 54 55 62 66 81 90 93 99 110 135 155 162 165 186 198 270 279 297 310 330 341 389 405 465 495 558 594 682 778 810 837 891 930 990 1023 1167 1395 1485 1674 1705 1782 1945 2046 2334 2511 2790 2970 3069 3410 3501 3890 4185 4279 4455 5022 5115 5835 6138 7002 8370 8558 8910 9207 10230 10503 11670 12059 12555 12837 15345 17505 18414 21006 21395 24118 25110 25674 27621 30690 31509 35010 36177 38511 42790 46035 52515 55242 60295 63018 64185 72354 77022 92070 105030 108531 115533 120590 128370 132649 138105 157545 180885 192555 217062 231066 265298 276210 315090 325593 346599 361770 385110 397947 542655 577665 651186 663245 693198 795894 976779 1085310 1155330 1193841 1326490 1627965 1732995 1953558 1989735 2387682 3255930 3465990 3581523 3979470 4883895 5969205 7163046 9767790 10744569 11938410 17907615 21489138 35815230 53722845 107445690