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107442036 = 2232131943281
BaseRepresentation
bin1100110011101…
…10111101110100
321111011121202200
412121312331310
5210001121121
614354504500
72443146042
oct631667564
9244147680
10107442036
1155714879
122bb95130
131934ac90
14103ab392
159674a26
hex6676f74

107442036 has 144 divisors (see below), whose sum is σ = 316155840. Its totient is φ = 30481920.

The previous prime is 107442019. The next prime is 107442037. The reversal of 107442036 is 630244701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107442037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382216 + ... + 382496.

Almost surely, 2107442036 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 107442036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158077920).

107442036 is an abundant number, since it is smaller than the sum of its proper divisors (208713804).

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

107442036 is a wasteful number, since it uses less digits than its factorization.

107442036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 107442036 is about 10365.4250274651. The cubic root of 107442036 is about 475.3987949153.

Adding to 107442036 its reverse (630244701), we get a palindrome (737686737).

The spelling of 107442036 in words is "one hundred seven million, four hundred forty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 43 52 57 76 78 86 114 117 129 156 171 172 228 234 247 258 281 342 387 468 494 516 559 562 684 741 774 817 843 988 1118 1124 1482 1548 1634 1677 1686 2223 2236 2451 2529 2964 3268 3354 3372 3653 4446 4902 5031 5058 5339 6708 7306 7353 8892 9804 10062 10116 10621 10678 10959 12083 14612 14706 16017 20124 21242 21356 21918 24166 29412 31863 32034 32877 36249 42484 43836 48051 48332 63726 64068 65754 69407 72498 95589 96102 108747 127452 131508 138814 144996 157079 191178 192204 208221 217494 229577 277628 314158 382356 416442 434988 459154 471237 624663 628316 688731 832884 918308 942474 1249326 1377462 1413711 1884948 2066193 2498652 2754924 2827422 2984501 4132386 5654844 5969002 8264772 8953503 11938004 17907006 26860509 35814012 53721018 107442036