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115146096 = 243132371113
BaseRepresentation
bin1101101110011…
…11110101110000
322000200000202020
412313033311300
5213434133341
615231551440
72565503622
oct667176560
9260600666
10115146096
1159aa6a6a
123268b580
131ab177b0
1411414c12
15a197566
hex6dcfd70

115146096 has 160 divisors (see below), whose sum is σ = 341978112. Its totient is φ = 33116160.

The previous prime is 115146089. The next prime is 115146103. The reversal of 115146096 is 690641511.

It is an interprime number because it is at equal distance from previous prime (115146089) and next prime (115146103).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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, 1018936 + ... + 1019048.

Almost surely, 2115146096 is an apocalyptic number.

115146096 is a gapful number since it is divisible by the number (16) 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 115146096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170989056).

115146096 is an abundant number, since it is smaller than the sum of its proper divisors (226832016).

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

115146096 is a wasteful number, since it uses less digits than its factorization.

115146096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 115146096 is about 10730.6148938446. The cubic root of 115146096 is about 486.5002554408.

The spelling of 115146096 in words is "one hundred fifteen million, one hundred forty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 71 78 92 104 113 138 142 156 184 208 213 226 276 284 299 312 339 368 426 452 552 568 598 624 678 852 897 904 923 1104 1136 1196 1356 1469 1633 1704 1794 1808 1846 2392 2599 2712 2769 2938 3266 3408 3588 3692 4407 4784 4899 5198 5424 5538 5876 6532 7176 7384 7797 8023 8814 9798 10396 11076 11752 13064 14352 14768 15594 16046 17628 19596 20792 21229 22152 23504 24069 26128 31188 32092 33787 35256 39192 41584 42458 44304 48138 62376 63687 64184 67574 70512 78384 84916 96276 101361 104299 124752 127374 128368 135148 169832 184529 192552 202722 208598 254748 270296 312897 339664 369058 385104 405444 417196 509496 540592 553587 625794 738116 810888 834392 1018992 1107174 1251588 1476232 1621776 1668784 2214348 2398877 2503176 2952464 4428696 4797754 5006352 7196631 8857392 9595508 14393262 19191016 28786524 38382032 57573048 115146096