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115045950 = 235219371091
BaseRepresentation
bin1101101101101…
…11011000111110
322000110221101010
412312313120332
5213422432300
615225500050
72564605635
oct666673076
9260427333
10115045950
1159a387a8
1232641626
131aab1036
14113ca51c
15a177a50
hex6db763e

115045950 has 96 divisors (see below), whose sum is σ = 308730240. Its totient is φ = 28252800.

The previous prime is 115045943. The next prime is 115045951. The reversal of 115045950 is 59540511.

It is a super-2 number, since 2×1150459502 = 26471141222805000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115045951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104905 + ... + 105995.

It is an arithmetic number, because the mean of its divisors is an integer number (3215940).

Almost surely, 2115045950 is an apocalyptic number.

115045950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115045950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154365120).

115045950 is an abundant number, since it is smaller than the sum of its proper divisors (193684290).

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

115045950 is a wasteful number, since it uses less digits than its factorization.

115045950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The square root of 115045950 is about 10725.9475105932. The cubic root of 115045950 is about 486.3591732625.

The spelling of 115045950 in words is "one hundred fifteen million, forty-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 37 38 50 57 74 75 95 111 114 150 185 190 222 285 370 475 555 570 703 925 950 1091 1110 1406 1425 1850 2109 2182 2775 2850 3273 3515 4218 5455 5550 6546 7030 10545 10910 16365 17575 20729 21090 27275 32730 35150 40367 41458 52725 54550 62187 80734 81825 103645 105450 121101 124374 163650 201835 207290 242202 310935 403670 518225 605505 621870 766973 1009175 1036450 1211010 1533946 1554675 2018350 2300919 3027525 3109350 3834865 4601838 6055050 7669730 11504595 19174325 23009190 38348650 57522975 115045950