Search a number
-
+
135295704 = 23334713327
BaseRepresentation
bin10000001000001…
…11001011011000
3100102120201211000
420010013023120
5234113430304
621231505000
73231665055
oct1004071330
9312521730
10135295704
116a409735
1239388160
132205103b
1413d7c02c
15bd27939
hex81072d8

135295704 has 64 divisors (see below), whose sum is σ = 383846400. Its totient is φ = 44135712.

The previous prime is 135295703. The next prime is 135295709. The reversal of 135295704 is 407592531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135295703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3489 + ... + 16815.

It is an arithmetic number, because the mean of its divisors is an integer number (5997600).

Almost surely, 2135295704 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 135295704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191923200).

135295704 is an abundant number, since it is smaller than the sum of its proper divisors (248550696).

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

135295704 is a wasteful number, since it uses less digits than its factorization.

135295704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13389 (or 13379 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 135295704 is about 11631.6681520752. The cubic root of 135295704 is about 513.3670639929.

The spelling of 135295704 in words is "one hundred thirty-five million, two hundred ninety-five thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 846 1128 1269 1692 2538 3384 5076 10152 13327 26654 39981 53308 79962 106616 119943 159924 239886 319848 359829 479772 626369 719658 959544 1252738 1439316 1879107 2505476 2878632 3758214 5010952 5637321 7516428 11274642 15032856 16911963 22549284 33823926 45098568 67647852 135295704