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135570036 = 223717139683
BaseRepresentation
bin10000001010010…
…10001001110100
3100110002200010110
420011022021310
5234201220121
621241423020
73234216630
oct1005121164
9313080113
10135570036
116a586858
123949aa70
1322118b74
141400ddc0
15bd7dd76
hex814a274

135570036 has 96 divisors (see below), whose sum is σ = 386104320. Its totient is φ = 36140544.

The previous prime is 135570031. The next prime is 135570047. The reversal of 135570036 is 630075531.

It is a super-2 number, since 2×1355700362 = 36758469322082592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135569985 and 135570012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135570031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198151 + ... + 198833.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 2135570036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135570036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193052160).

135570036 is an abundant number, since it is smaller than the sum of its proper divisors (250534284).

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

135570036 is a wasteful number, since it uses less digits than its factorization.

135570036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 135570036 is about 11643.4546419866. The cubic root of 135570036 is about 513.7138055616.

The spelling of 135570036 in words is "one hundred thirty-five million, five hundred seventy thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 139 204 238 278 357 417 476 556 683 714 834 973 1366 1428 1668 1946 2049 2363 2732 2919 3892 4098 4726 4781 5838 7089 8196 9452 9562 11611 11676 14178 14343 16541 19124 23222 28356 28686 33082 34833 46444 49623 57372 66164 69666 81277 94937 99246 139332 162554 189874 198492 243831 284811 325108 379748 487662 569622 664559 975324 1139244 1329118 1613929 1993677 2658236 3227858 3987354 4841787 6455716 7974708 9683574 11297503 19367148 22595006 33892509 45190012 67785018 135570036