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136445610 = 23575411201
BaseRepresentation
bin10000010000111…
…11111010101010
3100111202011012010
420020133322222
5234412224420
621312300350
73244524420
oct1010377252
9314664163
10136445610
1170024674
12398416b6
1322364562
141419b110
15bea34e0
hex821feaa

136445610 has 64 divisors (see below), whose sum is σ = 375254784. Its totient is φ = 31104000.

The previous prime is 136445557. The next prime is 136445627. The reversal of 136445610 is 16544631.

136445610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113010 + ... + 114210.

It is an arithmetic number, because the mean of its divisors is an integer number (5863356).

Almost surely, 2136445610 is an apocalyptic number.

136445610 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 136445610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187627392).

136445610 is an abundant number, since it is smaller than the sum of its proper divisors (238809174).

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

136445610 is a wasteful number, since it uses less digits than its factorization.

136445610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 136445610 is about 11680.9935365105. The cubic root of 136445610 is about 514.8173669814.

The spelling of 136445610 in words is "one hundred thirty-six million, four hundred forty-five thousand, six hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 541 1082 1201 1623 2402 2705 3246 3603 3787 5410 6005 7206 7574 8115 8407 11361 12010 16230 16814 18015 18935 22722 25221 36030 37870 42035 50442 56805 84070 113610 126105 252210 649741 1299482 1949223 3248705 3898446 4548187 6497410 9096374 9746115 13644561 19492230 22740935 27289122 45481870 68222805 136445610