Search a number
-
+
136318240 = 25517232179
BaseRepresentation
bin10000010000000…
…00110100100000
3100111111200110201
420020000310200
5234344140430
621305434544
73243454162
oct1010006440
9314450421
10136318240
116aa47a03
123979ba54
132231b5a6
1414166932
15be7a8ca
hex8200d20

136318240 has 96 divisors (see below), whose sum is σ = 355985280. Its totient is φ = 49065984.

The previous prime is 136318211. The next prime is 136318243. The reversal of 136318240 is 42813631.

It is a junction number, because it is equal to n+sod(n) for n = 136318199 and 136318208.

It is not an unprimeable number, because it can be changed into a prime (136318243) 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, 61471 + ... + 63649.

It is an arithmetic number, because the mean of its divisors is an integer number (3708180).

Almost surely, 2136318240 is an apocalyptic number.

136318240 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 136318240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177992640).

136318240 is an abundant number, since it is smaller than the sum of its proper divisors (219667040).

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

136318240 is a wasteful number, since it uses less digits than its factorization.

136318240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 136318240 is about 11675.5402444598. The cubic root of 136318240 is about 514.6571255923.

The spelling of 136318240 in words is "one hundred thirty-six million, three hundred eighteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 23 32 34 40 46 68 80 85 92 115 136 160 170 184 230 272 340 368 391 460 544 680 736 782 920 1360 1564 1840 1955 2179 2720 3128 3680 3910 4358 6256 7820 8716 10895 12512 15640 17432 21790 31280 34864 37043 43580 50117 62560 69728 74086 87160 100234 148172 174320 185215 200468 250585 296344 348640 370430 400936 501170 592688 740860 801872 851989 1002340 1185376 1481720 1603744 1703978 2004680 2963440 3407956 4009360 4259945 5926880 6815912 8018720 8519890 13631824 17039780 27263648 34079560 68159120 136318240