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115320520 = 23572173461
BaseRepresentation
bin1101101111110…
…10011011001000
322000222220000101
412313322123020
5214010224040
615235415144
72600131300
oct667723310
9260886011
10115320520
115a106017
12327544b4
131ab78cc3
141145c600
15a1ce09a
hex6dfa6c8

115320520 has 96 divisors (see below), whose sum is σ = 319681080. Its totient is φ = 37201920.

The previous prime is 115320473. The next prime is 115320553. The reversal of 115320520 is 25023511.

It can be written as a sum of positive squares in 4 ways, for example, as 90897156 + 24423364 = 9534^2 + 4942^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31590 + ... + 35050.

Almost surely, 2115320520 is an apocalyptic number.

115320520 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 115320520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159840540).

115320520 is an abundant number, since it is smaller than the sum of its proper divisors (204360560).

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

115320520 is a wasteful number, since it uses less digits than its factorization.

115320520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 115320520 is about 10738.7392183626. The cubic root of 115320520 is about 486.7457826798.

The spelling of 115320520 in words is "one hundred fifteen million, three hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 340 392 476 490 595 680 833 952 980 1190 1666 1960 2380 3332 3461 4165 4760 6664 6922 8330 13844 16660 17305 24227 27688 33320 34610 48454 58837 69220 96908 117674 121135 138440 169589 193816 235348 242270 294185 339178 411859 470696 484540 588370 678356 823718 847945 969080 1176740 1356712 1647436 1695890 2059295 2353480 2883013 3294872 3391780 4118590 5766026 6783560 8237180 11532052 14415065 16474360 23064104 28830130 57660260 115320520