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136670500 = 2253614481
BaseRepresentation
bin10000010010101…
…10110100100100
3100112011120200101
420021112310210
5234441424000
621321153444
73246452161
oct1011266444
9315146611
10136670500
117016862a
123992b884
1322412a25
1414219068
15bee9e6a
hex8256d24

136670500 has 48 divisors (see below), whose sum is σ = 303449328. Its totient is φ = 53760000.

The previous prime is 136670483. The next prime is 136670503. The reversal of 136670500 is 5076631.

It can be written as a sum of positive squares in 8 ways, for example, as 64352484 + 72318016 = 8022^2 + 8504^2 .

It is not an unprimeable number, because it can be changed into a prime (136670503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28260 + ... + 32740.

It is an arithmetic number, because the mean of its divisors is an integer number (6321861).

Almost surely, 2136670500 is an apocalyptic number.

136670500 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 136670500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151724664).

136670500 is an abundant number, since it is smaller than the sum of its proper divisors (166778828).

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

136670500 is a wasteful number, since it uses less digits than its factorization.

136670500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 136670500 is about 11690.6158948107. The cubic root of 136670500 is about 515.1000528264.

The spelling of 136670500 in words is "one hundred thirty-six million, six hundred seventy thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 125 244 250 305 500 610 1220 1525 3050 4481 6100 7625 8962 15250 17924 22405 30500 44810 89620 112025 224050 273341 448100 546682 560125 1093364 1120250 1366705 2240500 2733410 5466820 6833525 13667050 27334100 34167625 68335250 136670500