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136811370 = 23531157937
BaseRepresentation
bin10000010011110…
…01001101101010
3100112102201220210
420021321031222
5240010430440
621324201550
73250606653
oct1011711552
9315381823
10136811370
1170254453
12399992b6
1322461b97
141425452a
15c026a80
hex827936a

136811370 has 64 divisors (see below), whose sum is σ = 341462016. Its totient is φ = 35043840.

The previous prime is 136811347. The next prime is 136811399. The reversal of 136811370 is 73118631.

136811370 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1368113702 = 37434701922553800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145542 + ... + 146478.

It is an arithmetic number, because the mean of its divisors is an integer number (5335344).

Almost surely, 2136811370 is an apocalyptic number.

136811370 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 136811370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170731008).

136811370 is an abundant number, since it is smaller than the sum of its proper divisors (204650646).

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

136811370 is a wasteful number, since it uses less digits than its factorization.

136811370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 136811370 is about 11696.6392609159. The cubic root of 136811370 is about 515.2769679328.

It can be divided in two parts, 13681 and 1370, that added together give a palindrome (15051).

The spelling of 136811370 in words is "one hundred thirty-six million, eight hundred eleven thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 157 186 310 314 465 471 785 930 937 942 1570 1874 2355 2811 4685 4710 4867 5622 9370 9734 14055 14601 24335 28110 29047 29202 48670 58094 73005 87141 145235 146010 147109 174282 290470 294218 435705 441327 735545 871410 882654 1471090 2206635 4413270 4560379 9120758 13681137 22801895 27362274 45603790 68405685 136811370