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134861430 = 2351119137157
BaseRepresentation
bin10000000100111…
…01001001110110
3100101202200002210
420002131021312
5234011031210
621214314250
73225206004
oct1002351166
9311680083
10134861430
116a142430
12391b8986
1321c2b482
1413ca7a74
15bc8de20
hex809d276

134861430 has 128 divisors (see below), whose sum is σ = 376773120. Its totient is φ = 30551040.

The previous prime is 134861413. The next prime is 134861437. The reversal of 134861430 is 34168431.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134861437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 858912 + ... + 859068.

It is an arithmetic number, because the mean of its divisors is an integer number (2943540).

Almost surely, 2134861430 is an apocalyptic number.

134861430 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 134861430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188386560).

134861430 is an abundant number, since it is smaller than the sum of its proper divisors (241911690).

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

134861430 is a wasteful number, since it uses less digits than its factorization.

134861430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 134861430 is about 11612.9854042791. The cubic root of 134861430 is about 512.8172043840.

The spelling of 134861430 in words is "one hundred thirty-four million, eight hundred sixty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 137 157 165 190 209 274 285 314 330 411 418 471 570 627 685 785 822 942 1045 1254 1370 1507 1570 1727 2055 2090 2355 2603 2983 3014 3135 3454 4110 4521 4710 5181 5206 5966 6270 7535 7809 8635 8949 9042 10362 13015 14915 15070 15618 17270 17898 21509 22605 25905 26030 28633 29830 32813 39045 43018 44745 45210 51810 57266 64527 65626 78090 85899 89490 98439 107545 129054 143165 164065 171798 196878 215090 236599 286330 322635 328130 408671 429495 473198 492195 645270 709797 817342 858990 984390 1182995 1226013 1419594 2043355 2365990 2452026 3548985 4086710 4495381 6130065 7097970 8990762 12260130 13486143 22476905 26972286 44953810 67430715 134861430