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136360000 = 26547487
BaseRepresentation
bin10000010000010…
…11000001000000
3100111120210202101
420020023001000
5234402010000
621310400144
73244020010
oct1010130100
9314523671
10136360000
116aa76317
1239800054
13223345ba
1414177c40
15be87e6a
hex820b040

136360000 has 140 divisors (see below), whose sum is σ = 387226048. Its totient is φ = 46656000.

The previous prime is 136359997. The next prime is 136360013. The reversal of 136360000 is 63631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (140).

It is a self number, because there is not a number n which added to its sum of digits gives 136360000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279757 + ... + 280243.

Almost surely, 2136360000 is an apocalyptic number.

136360000 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 136360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193613024).

136360000 is an abundant number, since it is smaller than the sum of its proper divisors (250866048).

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

136360000 is an frugal number, since it uses more digits than its factorization.

136360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 136360000 is about 11677.3284615960. The cubic root of 136360000 is about 514.7096739216.

The spelling of 136360000 in words is "one hundred thirty-six million, three hundred sixty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 487 500 560 625 700 800 875 974 1000 1120 1250 1400 1600 1750 1948 2000 2240 2435 2500 2800 3409 3500 3896 4000 4375 4870 5000 5600 6818 7000 7792 8000 8750 9740 10000 11200 12175 13636 14000 15584 17045 17500 19480 20000 24350 27272 28000 31168 34090 35000 38960 40000 48700 54544 56000 60875 68180 70000 77920 85225 97400 109088 121750 136360 140000 155840 170450 194800 218176 243500 272720 280000 304375 340900 389600 426125 487000 545440 608750 681800 779200 852250 974000 1090880 1217500 1363600 1704500 1948000 2130625 2435000 2727200 3409000 3896000 4261250 4870000 5454400 6818000 8522500 9740000 13636000 17045000 19480000 27272000 34090000 68180000 136360000