Search a number
-
+
10342020 = 22351313259
BaseRepresentation
bin100111011100…
…111010000100
3201110102120210
4213130322010
510121421040
61005355420
7153622443
oct47347204
921412523
1010342020
115924127
123568b70
1321b1450
141532d5a
15d94480
hex9dce84

10342020 has 48 divisors (see below), whose sum is σ = 31187520. Its totient is φ = 2545536.

The previous prime is 10341997. The next prime is 10342027. The reversal of 10342020 is 2024301.

10342020 = T36 + T37 + ... + T395.

10342020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10341987 and 10342005.

It is not an unprimeable number, because it can be changed into a prime (10342027) 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, 5850 + ... + 7409.

It is an arithmetic number, because the mean of its divisors is an integer number (649740).

Almost surely, 210342020 is an apocalyptic number.

10342020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10342020 is an abundant number, since it is smaller than the sum of its proper divisors (20845500).

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

10342020 is a wasteful number, since it uses less digits than its factorization.

10342020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13284 (or 13282 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 10342020 is about 3215.9011178828. The cubic root of 10342020 is about 217.8721861101.

Adding to 10342020 its reverse (2024301), we get a palindrome (12366321).

The spelling of 10342020 in words is "ten million, three hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 13259 26518 39777 53036 66295 79554 132590 159108 172367 198885 265180 344734 397770 517101 689468 795540 861835 1034202 1723670 2068404 2585505 3447340 5171010 10342020