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116525880 = 233251731871
BaseRepresentation
bin1101111001000…
…00101100111000
322010021010110100
412330200230320
5214312312010
615321315400
72613311412
oct674405470
9263233410
10116525880
115a859689
1233035b60
131b1ab833
14116939b2
15a36b2c0
hex6f20b38

116525880 has 96 divisors (see below), whose sum is σ = 381101760. Its totient is φ = 30877440.

The previous prime is 116525861. The next prime is 116525881. The reversal of 116525880 is 88525611.

116525880 is a `hidden beast` number, since 11 + 65 + 2 + 588 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116525881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61345 + ... + 63215.

It is an arithmetic number, because the mean of its divisors is an integer number (3969810).

Almost surely, 2116525880 is an apocalyptic number.

116525880 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 116525880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190550880).

116525880 is an abundant number, since it is smaller than the sum of its proper divisors (264575880).

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

116525880 is a wasteful number, since it uses less digits than its factorization.

116525880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 116525880 is about 10794.7153737373. The cubic root of 116525880 is about 488.4357726234.

The spelling of 116525880 in words is "one hundred sixteen million, five hundred twenty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 173 180 346 360 519 692 865 1038 1384 1557 1730 1871 2076 2595 3114 3460 3742 4152 5190 5613 6228 6920 7484 7785 9355 10380 11226 12456 14968 15570 16839 18710 20760 22452 28065 31140 33678 37420 44904 56130 62280 67356 74840 84195 112260 134712 168390 224520 323683 336780 647366 673560 971049 1294732 1618415 1942098 2589464 2913147 3236830 3884196 4855245 5826294 6473660 7768392 9710490 11652588 12947320 14565735 19420980 23305176 29131470 38841960 58262940 116525880