Search a number
-
+
107700120 = 233251127197
BaseRepresentation
bin1100110101101…
…01111110011000
321111122201210100
412122311332120
5210032400440
614404215400
72445302343
oct632657630
9244581710
10107700120
1155880770
123009a560
131940b5a8
141043745a
1596c6230
hex66b5f98

107700120 has 96 divisors (see below), whose sum is σ = 381859920. Its totient is φ = 26108160.

The previous prime is 107700091. The next prime is 107700121. The reversal of 107700120 is 21007701.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 107700093 and 107700102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107700121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9639 + ... + 17558.

Almost surely, 2107700120 is an apocalyptic number.

107700120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107700120 is an abundant number, since it is smaller than the sum of its proper divisors (274159800).

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

107700120 is a wasteful number, since it uses less digits than its factorization.

107700120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27225 (or 27218 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 107700120 is about 10377.8668328323. The cubic root of 107700120 is about 475.7791386456.

Adding to 107700120 its reverse (21007701), we get a palindrome (128707821).

The spelling of 107700120 in words is "one hundred seven million, seven hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 27197 54394 81591 108788 135985 163182 217576 244773 271970 299167 326364 407955 489546 543940 598334 652728 815910 897501 979092 1087880 1196668 1223865 1495835 1631820 1795002 1958184 2393336 2447730 2692503 2991670 3263640 3590004 4487505 4895460 5385006 5983340 7180008 8975010 9790920 10770012 11966680 13462515 17950020 21540024 26925030 35900040 53850060 107700120