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115731920 = 24517431979
BaseRepresentation
bin1101110010111…
…10110111010000
322001202210100102
412321132313100
5214111410140
615252311532
72603463563
oct671366720
9261683312
10115731920
115a367117
12329125a8
131ac91335
14115284da
15a260e15
hex6e5edd0

115731920 has 80 divisors (see below), whose sum is σ = 291677760. Its totient is φ = 42534912.

The previous prime is 115731911. The next prime is 115731977. The reversal of 115731920 is 29137511.

It is a tau number, because it is divible by the number of its divisors (80).

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, 57491 + ... + 59469.

It is an arithmetic number, because the mean of its divisors is an integer number (3645972).

Almost surely, 2115731920 is an apocalyptic number.

115731920 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 115731920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145838880).

115731920 is an abundant number, since it is smaller than the sum of its proper divisors (175945840).

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

115731920 is a wasteful number, since it uses less digits than its factorization.

115731920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 115731920 is about 10757.8771140035. The cubic root of 115731920 is about 487.3239092265.

The spelling of 115731920 in words is "one hundred fifteen million, seven hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 43 68 80 85 86 136 170 172 215 272 340 344 430 680 688 731 860 1360 1462 1720 1979 2924 3440 3655 3958 5848 7310 7916 9895 11696 14620 15832 19790 29240 31664 33643 39580 58480 67286 79160 85097 134572 158320 168215 170194 269144 336430 340388 425485 538288 672860 680776 850970 1345720 1361552 1446649 1701940 2691440 2893298 3403880 5786596 6807760 7233245 11573192 14466490 23146384 28932980 57865960 115731920