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2352135140 = 225378093929
BaseRepresentation
bin1000110000110010…
…1011101111100100
320001220221211211022
42030030223233210
514304121311030
61025222230312
7112200550565
oct21414535744
96056854738
102352135140
11aa779aa43
12557885398
132b63ca354
1418456016c
15db76dde5
hex8c32bbe4

2352135140 has 48 divisors (see below), whose sum is σ = 5080546800. Its totient is φ = 914061312.

The previous prime is 2352135133. The next prime is 2352135143. The reversal of 2352135140 is 415312532.

It is a happy number.

2352135140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 69588964 + 2282546176 = 8342^2 + 47776^2 .

It is not an unprimeable number, because it can be changed into a prime (2352135143) 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, 596696 + ... + 600624.

It is an arithmetic number, because the mean of its divisors is an integer number (105844725).

Almost surely, 22352135140 is an apocalyptic number.

2352135140 is a gapful number since it is divisible by the number (20) 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 2352135140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540273400).

2352135140 is an abundant number, since it is smaller than the sum of its proper divisors (2728411660).

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

2352135140 is a wasteful number, since it uses less digits than its factorization.

2352135140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4784 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 2352135140 is about 48498.8158618332. The cubic root of 2352135140 is about 1329.9054222606.

Adding to 2352135140 its reverse (415312532), we get a palindrome (2767447672).

The spelling of 2352135140 in words is "two billion, three hundred fifty-two million, one hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 809 1618 3236 3929 4045 7858 8090 15716 16180 19645 29933 39290 59866 78580 119732 145373 149665 290746 299330 581492 598660 726865 1453730 2907460 3178561 6357122 12714244 15892805 31785610 63571220 117606757 235213514 470427028 588033785 1176067570 2352135140