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136695006 = 23372192719
BaseRepresentation
bin10000010010111…
…00110011011110
3100112012211022000
420021130303132
5234443220011
621321503130
73246613500
oct1011346336
9315184260
10136695006
1170184a88
1239941aa6
1322420c26
1414223d70
15c002356
hex825ccde

136695006 has 96 divisors (see below), whose sum is σ = 372096000. Its totient is φ = 36986544.

The previous prime is 136694993. The next prime is 136695007. The reversal of 136695006 is 600596631.

136695006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136695007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48915 + ... + 51633.

It is an arithmetic number, because the mean of its divisors is an integer number (3876000).

Almost surely, 2136695006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136695006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186048000).

136695006 is an abundant number, since it is smaller than the sum of its proper divisors (235400994).

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

136695006 is a wasteful number, since it uses less digits than its factorization.

136695006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 136695006 is about 11691.6639534328. The cubic root of 136695006 is about 515.1308380300.

The spelling of 136695006 in words is "one hundred thirty-six million, six hundred ninety-five thousand, six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 98 114 126 133 147 171 189 266 294 342 378 399 441 513 798 882 931 1026 1197 1323 1862 2394 2646 2719 2793 3591 5438 5586 7182 8157 8379 16314 16758 19033 24471 25137 38066 48942 50274 51661 57099 73413 103322 114198 133231 146826 154983 171297 266462 309966 342594 361627 399693 464949 513891 723254 799386 929898 1027782 1084881 1199079 1394847 2169762 2398158 2531389 2789694 3254643 3597237 5062778 6509286 7194474 7594167 9763929 15188334 19527858 22782501 45565002 68347503 136695006