Search a number
-
+
35128140 = 2235797411
BaseRepresentation
bin1000011000000…
…0001101001100
32110002200202020
42012000031030
532443100030
63252530140
7604404255
oct206001514
973080666
1035128140
1118913323
12b920950
13737c1a8
144945b2c
15313d510
hex218034c

35128140 has 48 divisors (see below), whose sum is σ = 99617280. Its totient is φ = 9247680.

The previous prime is 35128099. The next prime is 35128141. The reversal of 35128140 is 4182153.

It is a self number, because there is not a number n which added to its sum of digits gives 35128140.

It is not an unprimeable number, because it can be changed into a prime (35128141) 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, 1035 + ... + 8445.

It is an arithmetic number, because the mean of its divisors is an integer number (2075360).

Almost surely, 235128140 is an apocalyptic number.

35128140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35128140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49808640).

35128140 is an abundant number, since it is smaller than the sum of its proper divisors (64489140).

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

35128140 is a wasteful number, since it uses less digits than its factorization.

35128140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7502 (or 7500 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 35128140 is about 5926.8996954563. The cubic root of 35128140 is about 327.5053395396.

The spelling of 35128140 in words is "thirty-five million, one hundred twenty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 7411 14822 22233 29644 37055 44466 74110 88932 111165 148220 222330 444660 585469 1170938 1756407 2341876 2927345 3512814 5854690 7025628 8782035 11709380 17564070 35128140