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115142432 = 25193141149
BaseRepresentation
bin1101101110011…
…10111100100000
322000122211201112
412313032330200
5213434024212
615231522452
72565460136
oct667167440
9260584645
10115142432
1159aa4239
1232689428
131ab15c22
1411413756
15a196422
hex6dcef20

115142432 has 96 divisors (see below), whose sum is σ = 254016000. Its totient is φ = 51148800.

The previous prime is 115142431. The next prime is 115142459. The reversal of 115142432 is 234241511.

It is a junction number, because it is equal to n+sod(n) for n = 115142398 and 115142407.

It is not an unprimeable number, because it can be changed into a prime (115142431) 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, 772694 + ... + 772842.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2115142432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008000).

115142432 is an abundant number, since it is smaller than the sum of its proper divisors (138873568).

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

115142432 is a wasteful number, since it uses less digits than its factorization.

115142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 115142432 is about 10730.4441660166. Note that the first 3 decimals coincide. The cubic root of 115142432 is about 486.4950951679.

Adding to 115142432 its reverse (234241511), we get a palindrome (349383943).

The spelling of 115142432 in words is "one hundred fifteen million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 31 32 38 41 62 76 82 124 149 152 164 248 298 304 328 496 589 596 608 656 779 992 1178 1192 1271 1312 1558 2356 2384 2542 2831 3116 4619 4712 4768 5084 5662 6109 6232 9238 9424 10168 11324 12218 12464 18476 18848 20336 22648 24149 24436 24928 36952 40672 45296 48298 48872 73904 87761 90592 96596 97744 116071 147808 175522 189379 193192 195488 232142 351044 378758 386384 464284 702088 757516 772768 928568 1404176 1515032 1857136 2808352 3030064 3598201 3714272 6060128 7196402 14392804 28785608 57571216 115142432