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107423040 = 2635149751
BaseRepresentation
bin1100110011100…
…10010101000000
321111010122201010
412121302111000
5210000014130
614354240520
72443036464
oct631622500
9244118633
10107423040
115570157a
122bb86140
131934243a
14103a44a4
15966e0b0
hex6672540

107423040 has 112 divisors (see below), whose sum is σ = 343814400. Its totient is φ = 28416000.

The previous prime is 107423027. The next prime is 107423053. The reversal of 107423040 is 40324701.

It is an interprime number because it is at equal distance from previous prime (107423027) and next prime (107423053).

It is a junction number, because it is equal to n+sod(n) for n = 107422998 and 107423016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142665 + ... + 143415.

Almost surely, 2107423040 is an apocalyptic number.

107423040 is a gapful number since it is divisible by the number (10) 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 107423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171907200).

107423040 is an abundant number, since it is smaller than the sum of its proper divisors (236391360).

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

107423040 is a wasteful number, since it uses less digits than its factorization.

107423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 107423040 is about 10364.5086714229. The cubic root of 107423040 is about 475.3707760625.

Adding to 107423040 its reverse (40324701), we get a palindrome (147747741).

The spelling of 107423040 in words is "one hundred seven million, four hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 149 160 192 240 298 320 447 480 596 745 751 894 960 1192 1490 1502 1788 2235 2253 2384 2980 3004 3576 3755 4470 4506 4768 5960 6008 7152 7510 8940 9012 9536 11265 11920 12016 14304 15020 17880 18024 22530 23840 24032 28608 30040 35760 36048 45060 47680 48064 60080 71520 72096 90120 111899 120160 143040 144192 180240 223798 240320 335697 360480 447596 559495 671394 720960 895192 1118990 1342788 1678485 1790384 2237980 2685576 3356970 3580768 4475960 5371152 6713940 7161536 8951920 10742304 13427880 17903840 21484608 26855760 35807680 53711520 107423040