Search a number
-
+
135893304 = 233229371759
BaseRepresentation
bin10000001100110…
…01000100111000
3100110201002120100
420012121010320
5234242041204
621252355400
73240034251
oct1006310470
9313632510
10135893304
116a787718
1239615b60
1322200051
1414095b28
15bde4a39
hex8199138

135893304 has 96 divisors (see below), whose sum is σ = 391248000. Its totient is φ = 42529536.

The previous prime is 135893281. The next prime is 135893357. The reversal of 135893304 is 403398531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76377 + ... + 78135.

It is an arithmetic number, because the mean of its divisors is an integer number (4075500).

Almost surely, 2135893304 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 135893304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195624000).

135893304 is an abundant number, since it is smaller than the sum of its proper divisors (255354696).

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

135893304 is a wasteful number, since it uses less digits than its factorization.

135893304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 135893304 is about 11657.3283388605. The cubic root of 135893304 is about 514.1217998787.

The spelling of 135893304 in words is "one hundred thirty-five million, eight hundred ninety-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 37 58 72 74 87 111 116 148 174 222 232 261 296 333 348 444 522 666 696 888 1044 1073 1332 1759 2088 2146 2664 3219 3518 4292 5277 6438 7036 8584 9657 10554 12876 14072 15831 19314 21108 25752 31662 38628 42216 51011 63324 65083 77256 102022 126648 130166 153033 195249 204044 260332 306066 390498 408088 459099 520664 585747 612132 780996 918198 1171494 1224264 1561992 1836396 1887407 2342988 3672792 3774814 4685976 5662221 7549628 11324442 15099256 16986663 22648884 33973326 45297768 67946652 135893304