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115240960 = 212517331
BaseRepresentation
bin1101101111001…
…11000000000000
322000211211212201
412313213000000
5214000202320
615234002544
72566350322
oct667470000
9260754781
10115240960
115a06126a
1232716454
131ab4ba23
141143b612
15a1b570a
hex6de7000

115240960 has 104 divisors (see below), whose sum is σ = 293696496. Its totient is φ = 43253760.

The previous prime is 115240927. The next prime is 115240969. The reversal of 115240960 is 69042511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115240969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347995 + ... + 348325.

Almost surely, 2115240960 is an apocalyptic number.

115240960 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 115240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146848248).

115240960 is an abundant number, since it is smaller than the sum of its proper divisors (178455536).

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

115240960 is an equidigital number, since it uses as much as digits as its factorization.

115240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 115240960 is about 10735.0342337600. The cubic root of 115240960 is about 486.6338210980.

The spelling of 115240960 in words is "one hundred fifteen million, two hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 331 340 512 544 640 662 680 1024 1088 1280 1324 1360 1655 2048 2176 2560 2648 2720 3310 4096 4352 5120 5296 5440 5627 6620 8704 10240 10592 10880 11254 13240 17408 20480 21184 21760 22508 26480 28135 34816 42368 43520 45016 52960 56270 69632 84736 87040 90032 105920 112540 169472 174080 180064 211840 225080 338944 348160 360128 423680 450160 677888 720256 847360 900320 1355776 1440512 1694720 1800640 2881024 3389440 3601280 5762048 6778880 7202560 11524096 14405120 23048192 28810240 57620480 115240960