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107420280 = 233511174787
BaseRepresentation
bin1100110011100…
…01101001111000
321111010111220220
412121301221320
5204444422110
614354220040
72443025442
oct631615170
9244114826
10107420280
11556aa4a0
122bb84620
13193410c6
14103a3492
15966d370
hex6671a78

107420280 has 128 divisors (see below), whose sum is σ = 372314880. Its totient is φ = 24504320.

The previous prime is 107420273. The next prime is 107420293. The reversal of 107420280 is 82024701.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 107420280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20047 + ... + 24833.

It is an arithmetic number, because the mean of its divisors is an integer number (2908710).

Almost surely, 2107420280 is an apocalyptic number.

107420280 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 107420280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186157440).

107420280 is an abundant number, since it is smaller than the sum of its proper divisors (264894600).

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

107420280 is a wasteful number, since it uses less digits than its factorization.

107420280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4829 (or 4825 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 107420280 is about 10364.3755238799. The cubic root of 107420280 is about 475.3667048236.

Adding to 107420280 its reverse (82024701), we get a palindrome (189444981).

The spelling of 107420280 in words is "one hundred seven million, four hundred twenty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 4787 5610 7480 9574 11220 14361 19148 22440 23935 28722 38296 47870 52657 57444 71805 81379 95740 105314 114888 143610 157971 162758 191480 210628 244137 263285 287220 315942 325516 406895 421256 488274 526570 574440 631884 651032 789855 813790 895169 976548 1053140 1220685 1263768 1579710 1627580 1790338 1953096 2106280 2441370 2685507 3159420 3255160 3580676 4475845 4882740 5371014 6318840 7161352 8951690 9765480 10742028 13427535 17903380 21484056 26855070 35806760 53710140 107420280