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107253060 = 22354773521
BaseRepresentation
bin1100110010010…
…00110101000100
321110211000112120
412121020311010
5204424044220
614350445540
72441431065
oct631106504
9243730476
10107253060
11555a58a2
122bb038b0
13192b2c65
141035c56c
159638a40
hex6648d44

107253060 has 96 divisors (see below), whose sum is σ = 311496192. Its totient is φ = 27555840.

The previous prime is 107253059. The next prime is 107253077. The reversal of 107253060 is 60352701.

It is a self number, because there is not a number n which added to its sum of digits gives 107253060.

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 31 ways as a sum of consecutive naturals, for example, 205600 + ... + 206120.

It is an arithmetic number, because the mean of its divisors is an integer number (3244752).

Almost surely, 2107253060 is an apocalyptic number.

107253060 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 107253060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155748096).

107253060 is an abundant number, since it is smaller than the sum of its proper divisors (204243132).

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

107253060 is a wasteful number, since it uses less digits than its factorization.

107253060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 107253060 is about 10356.3053257424. The cubic root of 107253060 is about 475.1199106317.

The spelling of 107253060 in words is "one hundred seven million, two hundred fifty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 73 94 141 146 188 219 235 282 292 365 438 470 521 564 705 730 876 940 1042 1095 1410 1460 1563 2084 2190 2605 2820 3126 3431 4380 5210 6252 6862 7815 10293 10420 13724 15630 17155 20586 24487 31260 34310 38033 41172 48974 51465 68620 73461 76066 97948 102930 114099 122435 146922 152132 190165 205860 228198 244870 293844 367305 380330 456396 489740 570495 734610 760660 1140990 1469220 1787551 2281980 3575102 5362653 7150204 8937755 10725306 17875510 21450612 26813265 35751020 53626530 107253060