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136234600 = 23521722357
BaseRepresentation
bin10000001111011…
…00011001101000
3100111100102201221
420013230121220
5234334001400
621303551424
73242655265
oct1007543150
9314312657
10136234600
116a9a0087
123975b574
13222bc4b8
141414426c
15be60c1a
hex81ec668

136234600 has 72 divisors (see below), whose sum is σ = 336616290. Its totient is φ = 51266560.

The previous prime is 136234597. The next prime is 136234601. The reversal of 136234600 is 6432631.

It can be written as a sum of positive squares in 9 ways, for example, as 18164644 + 118069956 = 4262^2 + 10866^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (136234601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56622 + ... + 58978.

Almost surely, 2136234600 is an apocalyptic number.

136234600 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 136234600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168308145).

136234600 is an abundant number, since it is smaller than the sum of its proper divisors (200381690).

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

136234600 is a wasteful number, since it uses less digits than its factorization.

136234600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 136234600 is about 11671.9578477649. The cubic root of 136234600 is about 514.5518456513.

The spelling of 136234600 in words is "one hundred thirty-six million, two hundred thirty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 289 340 425 578 680 850 1156 1445 1700 2312 2357 2890 3400 4714 5780 7225 9428 11560 11785 14450 18856 23570 28900 40069 47140 57800 58925 80138 94280 117850 160276 200345 235700 320552 400690 471400 681173 801380 1001725 1362346 1602760 2003450 2724692 3405865 4006900 5449384 6811730 8013800 13623460 17029325 27246920 34058650 68117300 136234600