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135959424 = 273292421
BaseRepresentation
bin10000001101010…
…01001110000000
3100110211110021020
420012221032000
5234301200144
621254025440
73240431106
oct1006511600
9313743236
10135959424
116a822367
1239648280
1322224183
14140b1c76
15be09419
hex81a9380

135959424 has 96 divisors (see below), whose sum is σ = 374913240. Its totient is φ = 43653120.

The previous prime is 135959419. The next prime is 135959431. The reversal of 135959424 is 424959531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322734 + ... + 323154.

Almost surely, 2135959424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135959424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187456620).

135959424 is an abundant number, since it is smaller than the sum of its proper divisors (238953816).

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

135959424 is an equidigital number, since it uses as much as digits as its factorization.

135959424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 455 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 135959424 is about 11660.1639782638. The cubic root of 135959424 is about 514.2051697495.

The spelling of 135959424 in words is "one hundred thirty-five million, nine hundred fifty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 421 464 696 841 842 928 1263 1392 1682 1684 1856 2523 2526 2784 3364 3368 3712 5046 5052 5568 6728 6736 10092 10104 11136 12209 13456 13472 20184 20208 24418 26912 26944 36627 40368 40416 48836 53824 53888 73254 80736 80832 97672 107648 146508 161472 161664 195344 293016 322944 354061 390688 586032 708122 781376 1062183 1172064 1416244 1562752 2124366 2344128 2832488 4248732 4688256 5664976 8497464 11329952 16994928 22659904 33989856 45319808 67979712 135959424