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115061440 = 26513171627
BaseRepresentation
bin1101101101110…
…11001011000000
322000111201121211
412312323023000
5213423431230
615230055504
72565002044
oct666731300
9260451554
10115061440
1159a493aa
123264a594
131aab80c0
14113d2024
15a17c42a
hex6dbb2c0

115061440 has 112 divisors (see below), whose sum is σ = 312615072. Its totient is φ = 39960576.

The previous prime is 115061437. The next prime is 115061449. The reversal of 115061440 is 44160511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115061449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69907 + ... + 71533.

It is an arithmetic number, because the mean of its divisors is an integer number (2791206).

Almost surely, 2115061440 is an apocalyptic number.

115061440 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 115061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156307536).

115061440 is an abundant number, since it is smaller than the sum of its proper divisors (197553632).

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

115061440 is a wasteful number, since it uses less digits than its factorization.

115061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 115061440 is about 10726.6695670185. The cubic root of 115061440 is about 486.3810003832.

The spelling of 115061440 in words is "one hundred fifteen million, sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 130 136 160 170 208 221 260 272 320 340 416 442 520 544 680 832 884 1040 1088 1105 1360 1627 1768 2080 2210 2720 3254 3536 4160 4420 5440 6508 7072 8135 8840 13016 14144 16270 17680 21151 26032 27659 32540 35360 42302 52064 55318 65080 70720 84604 104128 105755 110636 130160 138295 169208 211510 221272 260320 276590 338416 359567 423020 442544 520640 553180 676832 719134 846040 885088 1106360 1353664 1438268 1692080 1770176 1797835 2212720 2876536 3384160 3595670 4425440 5753072 6768320 7191340 8850880 11506144 14382680 23012288 28765360 57530720 115061440