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115143040 = 2751719557
BaseRepresentation
bin1101101110011…
…11000110000000
322000122212120001
412313033012000
5213434034130
615231525344
72565461665
oct667170600
9260585501
10115143040
1159aa4741
1232689854
131ab1629c
1411413a6c
15a1966ca
hex6dcf180

115143040 has 128 divisors (see below), whose sum is σ = 307346400. Its totient is φ = 40992768.

The previous prime is 115143031. The next prime is 115143073. The reversal of 115143040 is 40341511.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 115142999 and 115143017.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 206442 + ... + 206998.

Almost surely, 2115143040 is an apocalyptic number.

115143040 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 115143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153673200).

115143040 is an abundant number, since it is smaller than the sum of its proper divisors (192203360).

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

115143040 is a wasteful number, since it uses less digits than its factorization.

115143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 115143040 is about 10730.4724965865. The cubic root of 115143040 is about 486.4959514653.

Adding to 115143040 its reverse (40341511), we get a palindrome (155484551).

The spelling of 115143040 in words is "one hundred fifteen million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 64 68 76 80 85 95 128 136 152 160 170 190 272 304 320 323 340 380 544 557 608 640 646 680 760 1088 1114 1216 1292 1360 1520 1615 2176 2228 2432 2584 2720 2785 3040 3230 4456 5168 5440 5570 6080 6460 8912 9469 10336 10583 10880 11140 12160 12920 17824 18938 20672 21166 22280 25840 35648 37876 41344 42332 44560 47345 51680 52915 71296 75752 84664 89120 94690 103360 105830 151504 169328 178240 179911 189380 206720 211660 303008 338656 356480 359822 378760 423320 606016 677312 719644 757520 846640 899555 1212032 1354624 1439288 1515040 1693280 1799110 2878576 3030080 3386560 3598220 5757152 6060160 6773120 7196440 11514304 14392880 23028608 28785760 57571520 115143040