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107034048 = 2634111877
BaseRepresentation
bin1100110000100…
…11010111000000
321110101220010000
412120103113000
5204400042143
614342040000
72436526422
oct630232700
9243356100
10107034048
11554662a0
122ba19000
1319237374
1410302812
1595e3bd3
hex66135c0

107034048 has 140 divisors (see below), whose sum is σ = 346310712. Its totient is φ = 32417280.

The previous prime is 107034013. The next prime is 107034079. The reversal of 107034048 is 840430701.

It is a super-2 number, since 2×1070340482 = 22912574862532608, 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 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 19 ways as a sum of consecutive naturals, for example, 56086 + ... + 57962.

Almost surely, 2107034048 is an apocalyptic number.

107034048 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 107034048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173155356).

107034048 is an abundant number, since it is smaller than the sum of its proper divisors (239276664).

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

107034048 is a wasteful number, since it uses less digits than its factorization.

107034048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 107034048 is about 10345.7260740849. The cubic root of 107034048 is about 474.7962901189.

Adding to 107034048 its reverse (840430701), we get a palindrome (947464749).

The spelling of 107034048 in words is "one hundred seven million, thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 1877 2112 2376 2592 3168 3564 3754 4752 5184 5631 6336 7128 7508 9504 11262 14256 15016 16893 19008 20647 22524 28512 30032 33786 41294 45048 50679 57024 60064 61941 67572 82588 90096 101358 120128 123882 135144 152037 165176 180192 185823 202716 247764 270288 304074 330352 360384 371646 405432 495528 540576 557469 608148 660704 743292 810864 991056 1081152 1114938 1216296 1321408 1486584 1621728 1672407 1982112 2229876 2432592 2973168 3243456 3344814 3964224 4459752 4865184 5946336 6689628 8919504 9730368 11892672 13379256 17839008 26758512 35678016 53517024 107034048