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136442020 = 225112134337
BaseRepresentation
bin10000010000111…
…11000010100100
3100111201222021011
420020133002210
5234412121040
621312232004
73244511101
oct1010370244
9314658234
10136442020
1170021a00
123983b604
1322362a30
1414199aa8
15bea23ea
hex821f0a4

136442020 has 72 divisors (see below), whose sum is σ = 339248952. Its totient is φ = 45788160.

The previous prime is 136441961. The next prime is 136442027. The reversal of 136442020 is 20244631.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6071296 + 130370724 = 2464^2 + 11418^2 .

It is a super-5 number, since 5×1364420205 (a number of 42 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 136441982 and 136442000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136442027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29292 + ... + 33628.

It is an arithmetic number, because the mean of its divisors is an integer number (4711791).

Almost surely, 2136442020 is an apocalyptic number.

136442020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169624476).

136442020 is an abundant number, since it is smaller than the sum of its proper divisors (202806932).

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

136442020 is a wasteful number, since it uses less digits than its factorization.

136442020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4381 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 136442020 is about 11680.8398670644. The cubic root of 136442020 is about 514.8128518476.

Adding to 136442020 its reverse (20244631), we get a palindrome (156686651).

The spelling of 136442020 in words is "one hundred thirty-six million, four hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 605 715 1210 1430 1573 2420 2860 3146 4337 6292 7865 8674 15730 17348 21685 31460 43370 47707 56381 86740 95414 112762 190828 225524 238535 281905 477070 524777 563810 620191 954140 1049554 1127620 1240382 2099108 2480764 2623885 3100955 5247770 6201910 6822101 10495540 12403820 13644202 27288404 34110505 68221010 136442020