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136336770 = 2345179901
BaseRepresentation
bin10000010000001…
…01010110000010
3100111112121220000
420020011112002
5234400234040
621310100430
73243562203
oct1010052602
9314477800
10136336770
116aa5a919
12397aa716
1322326b5b
141416d5aa
15be81130
hex8205582

136336770 has 80 divisors (see below), whose sum is σ = 388198008. Its totient is φ = 34214400.

The previous prime is 136336763. The next prime is 136336777. The reversal of 136336770 is 77633631.

136336770 is a `hidden beast` number, since 13 + 633 + 6 + 7 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (136336763) and next prime (136336777).

It can be written as a sum of positive squares in 4 ways, for example, as 136258929 + 77841 = 11673^2 + 279^2 .

It is not an unprimeable number, because it can be changed into a prime (136336777) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8820 + ... + 18720.

Almost surely, 2136336770 is an apocalyptic number.

136336770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136336770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194099004).

136336770 is an abundant number, since it is smaller than the sum of its proper divisors (251861238).

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

136336770 is a wasteful number, since it uses less digits than its factorization.

136336770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9937 (or 9928 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 36.

The square root of 136336770 is about 11676.3337567920. Note that the first 3 decimals coincide. The cubic root of 136336770 is about 514.6804439794.

The spelling of 136336770 in words is "one hundred thirty-six million, three hundred thirty-six thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 6885 9901 13770 19802 29703 49505 59406 89109 99010 148515 168317 178218 267327 297030 336634 445545 504951 534654 801981 841585 891090 1009902 1336635 1514853 1603962 1683170 2524755 2673270 3029706 4009905 4544559 5049510 7574265 8019810 9089118 13633677 15148530 22722795 27267354 45445590 68168385 136336770