Search a number
-
+
135346620 = 22353172767
BaseRepresentation
bin10000001000100…
…11100110111100
3100102200022122210
420010103212330
5234122042440
621232540420
73232266363
oct1004234674
9312608583
10135346620
116a443a12
12393b1710
132206b276
1413d927da
15bd37a80
hex81139bc

135346620 has 48 divisors (see below), whose sum is σ = 391200768. Its totient is φ = 34927680.

The previous prime is 135346619. The next prime is 135346621. The reversal of 135346620 is 26643531.

It is an interprime number because it is at equal distance from previous prime (135346619) and next prime (135346621).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135346621) 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, 34524 + ... + 38243.

It is an arithmetic number, because the mean of its divisors is an integer number (8150016).

Almost surely, 2135346620 is an apocalyptic number.

135346620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135346620 is an abundant number, since it is smaller than the sum of its proper divisors (255854148).

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

135346620 is a wasteful number, since it uses less digits than its factorization.

135346620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72810 (or 72808 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 135346620 is about 11633.8566262439. The cubic root of 135346620 is about 513.4314546041.

The spelling of 135346620 in words is "one hundred thirty-five million, three hundred forty-six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 72767 145534 218301 291068 363835 436602 727670 873204 1091505 1455340 2183010 2255777 4366020 4511554 6767331 9023108 11278885 13534662 22557770 27069324 33836655 45115540 67673310 135346620