Search a number
-
+
136314600 = 23352227191
BaseRepresentation
bin10000001111111…
…11111011101000
3100111111111110220
420013333323220
5234344031400
621305410040
73243440442
oct1007777350
9314444426
10136314600
116aa451a4
1239799920
1322319a36
1414165492
15be797a0
hex81ffee8

136314600 has 48 divisors (see below), whose sum is σ = 422577120. Its totient is φ = 36350400.

The previous prime is 136314593. The next prime is 136314667. The reversal of 136314600 is 6413631.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112996 + ... + 114195.

It is an arithmetic number, because the mean of its divisors is an integer number (8803690).

Almost surely, 2136314600 is an apocalyptic number.

136314600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136314600 is an abundant number, since it is smaller than the sum of its proper divisors (286262520).

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

136314600 is a wasteful number, since it uses less digits than its factorization.

136314600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227210 (or 227201 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 136314600 is about 11675.3843619814. The cubic root of 136314600 is about 514.6525447219.

The spelling of 136314600 in words is "one hundred thirty-six million, three hundred fourteen thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 227191 454382 681573 908764 1135955 1363146 1817528 2271910 2726292 3407865 4543820 5452584 5679775 6815730 9087640 11359550 13631460 17039325 22719100 27262920 34078650 45438200 68157300 136314600