Search a number
-
+
2362142090 = 2571123133379
BaseRepresentation
bin1000110011001011…
…0110110110001010
320002121210020210002
42030302312312022
514314202021330
61030220523002
7112351606430
oct21462666612
96077706702
102362142090
111002405350
1255b0b0462
132b84c2119
14185a06d50
15dc598e45
hex8ccb6d8a

2362142090 has 64 divisors (see below), whose sum is σ = 5531535360. Its totient is φ = 704235840.

The previous prime is 2362142077. The next prime is 2362142131. The reversal of 2362142090 is 902412632.

2362142090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48980 + ... + 84399.

It is an arithmetic number, because the mean of its divisors is an integer number (86430240).

Almost surely, 22362142090 is an apocalyptic number.

2362142090 is an abundant number, since it is smaller than the sum of its proper divisors (3169393270).

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

2362142090 is a wasteful number, since it uses less digits than its factorization.

2362142090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133427.

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 2362142090 is about 48601.8733178054. The cubic root of 2362142090 is about 1331.7887421334.

The spelling of 2362142090 in words is "two billion, three hundred sixty-two million, one hundred forty-two thousand, ninety".

Divisors: 1 2 5 7 10 11 14 22 23 35 46 55 70 77 110 115 154 161 230 253 322 385 506 770 805 1265 1610 1771 2530 3542 8855 17710 133379 266758 666895 933653 1333790 1467169 1867306 2934338 3067717 4668265 6135434 7335845 9336530 10270183 14671690 15338585 20540366 21474019 30677170 33744887 42948038 51350915 67489774 102701830 107370095 168724435 214740190 236214209 337448870 472428418 1181071045 2362142090