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107249240 = 235737817
BaseRepresentation
bin1100110010001…
…11111001011000
321110210211022002
412121013321120
5204423433430
614350420132
72441414000
oct631077130
9243724262
10107249240
11555a2a3a
122bb01648
13192b12b7
141035b000
159637845
hex6647e58

107249240 has 64 divisors (see below), whose sum is σ = 281448000. Its totient is φ = 36766464.

The previous prime is 107249189. The next prime is 107249251. The reversal of 107249240 is 42942701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9812 + ... + 17628.

It is an arithmetic number, because the mean of its divisors is an integer number (4397625).

Almost surely, 2107249240 is an apocalyptic number.

107249240 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 107249240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140724000).

107249240 is an abundant number, since it is smaller than the sum of its proper divisors (174198760).

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

107249240 is an equidigital number, since it uses as much as digits as its factorization.

107249240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7849 (or 7831 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 107249240 is about 10356.1208953932. The cubic root of 107249240 is about 475.1142698304.

The spelling of 107249240 in words is "one hundred seven million, two hundred forty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 3430 6860 7817 13720 15634 31268 39085 54719 62536 78170 109438 156340 218876 273595 312680 383033 437752 547190 766066 1094380 1532132 1915165 2188760 2681231 3064264 3830330 5362462 7660660 10724924 13406155 15321320 21449848 26812310 53624620 107249240