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115964660 = 22573761367
BaseRepresentation
bin1101110100101…
…11101011110100
322002012121121102
412322113223310
5214141332120
615301305232
72605453250
oct672275364
9262177542
10115964660
115a505a69
1232a05218
131b043256
1411589260
15a2a9d75
hex6e97af4

115964660 has 96 divisors (see below), whose sum is σ = 291314688. Its totient is φ = 37946880.

The previous prime is 115964659. The next prime is 115964671. The reversal of 115964660 is 66469511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315797 + ... + 316163.

It is an arithmetic number, because the mean of its divisors is an integer number (3034528).

Almost surely, 2115964660 is an apocalyptic number.

115964660 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 115964660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145657344).

115964660 is an abundant number, since it is smaller than the sum of its proper divisors (175350028).

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

115964660 is a wasteful number, since it uses less digits than its factorization.

115964660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 115964660 is about 10768.6888709815. The cubic root of 115964660 is about 487.6503643116.

The spelling of 115964660 in words is "one hundred fifteen million, nine hundred sixty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 61 70 74 122 140 148 185 244 259 305 367 370 427 518 610 734 740 854 1036 1220 1295 1468 1708 1835 2135 2257 2569 2590 3670 4270 4514 5138 5180 7340 8540 9028 10276 11285 12845 13579 15799 22387 22570 25690 27158 31598 44774 45140 51380 54316 63196 67895 78995 89548 95053 111935 135790 156709 157990 190106 223870 271580 313418 315980 380212 447740 475265 626836 783545 828319 950530 1567090 1656638 1901060 3134180 3313276 4141595 5798233 8283190 11596466 16566380 23192932 28991165 57982330 115964660