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115350060 = 223572311941
BaseRepresentation
bin1101110000000…
…01101000101100
322001001101112110
412320001220230
5214012200220
615240204020
72600313360
oct670015054
9261041473
10115350060
115a126231
1232769610
131ab89597
14114692a0
15a1d7be0
hex6e01a2c

115350060 has 96 divisors (see below), whose sum is σ = 385201152. Its totient is φ = 25217280.

The previous prime is 115350043. The next prime is 115350077. The reversal of 115350060 is 60053511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (115350043) and next prime (115350077).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3690 + ... + 15630.

It is an arithmetic number, because the mean of its divisors is an integer number (4012512).

Almost surely, 2115350060 is an apocalyptic number.

115350060 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 115350060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192600576).

115350060 is an abundant number, since it is smaller than the sum of its proper divisors (269851092).

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

115350060 is a wasteful number, since it uses less digits than its factorization.

115350060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11983 (or 11981 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 115350060 is about 10740.1145245291. The cubic root of 115350060 is about 486.7873400219.

The spelling of 115350060 in words is "one hundred fifteen million, three hundred fifty thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4830 9660 11941 23882 35823 47764 59705 71646 83587 119410 143292 167174 179115 238820 250761 274643 334348 358230 417935 501522 549286 716460 823929 835870 1003044 1098572 1253805 1373215 1647858 1671740 1922501 2507610 2746430 3295716 3845002 4119645 5015220 5492860 5767503 7690004 8239290 9612505 11535006 16478580 19225010 23070012 28837515 38450020 57675030 115350060