Search a number
-
+
115640160 = 25351032339
BaseRepresentation
bin1101110010010…
…00011101100000
322001121010110220
412321020131200
5214100441120
615250323040
72602632216
oct671103540
9261533426
10115640160
115a304189
1232889480
131ac5b63c
1411502cb6
15a243b40
hex6e48760

115640160 has 96 divisors (see below), whose sum is σ = 367960320. Its totient is φ = 30524928.

The previous prime is 115640153. The next prime is 115640167. The reversal of 115640160 is 61046511.

It is an interprime number because it is at equal distance from previous prime (115640153) and next prime (115640167).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 115640160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115640167) 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, 48271 + ... + 50609.

It is an arithmetic number, because the mean of its divisors is an integer number (3832920).

Almost surely, 2115640160 is an apocalyptic number.

115640160 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 115640160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183980160).

115640160 is an abundant number, since it is smaller than the sum of its proper divisors (252320160).

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

115640160 is a wasteful number, since it uses less digits than its factorization.

115640160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 115640160 is about 10753.6114863798. The cubic root of 115640160 is about 487.1950808523.

Adding to 115640160 its reverse (61046511), we get a palindrome (176686671).

The spelling of 115640160 in words is "one hundred fifteen million, six hundred forty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 618 824 1030 1236 1545 1648 2060 2339 2472 3090 3296 4120 4678 4944 6180 7017 8240 9356 9888 11695 12360 14034 16480 18712 23390 24720 28068 35085 37424 46780 49440 56136 70170 74848 93560 112272 140340 187120 224544 240917 280680 374240 481834 561360 722751 963668 1122720 1204585 1445502 1927336 2409170 2891004 3613755 3854672 4818340 5782008 7227510 7709344 9636680 11564016 14455020 19273360 23128032 28910040 38546720 57820080 115640160