Search a number
-
+
10342120 = 2351767227
BaseRepresentation
bin100111011100…
…111011101000
3201110102201111
4213130323220
510121421440
61005400104
7153622645
oct47347350
921412644
1010342120
115924208
123569034
1321b14c9
141532dcc
15d944ea
hex9dcee8

10342120 has 64 divisors (see below), whose sum is σ = 25116480. Its totient is φ = 3818496.

The previous prime is 10342081. The next prime is 10342133. The reversal of 10342120 is 2124301.

10342120 = T215 + T216 + ... + T415.

It is a self number, because there is not a number n which added to its sum of digits gives 10342120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45447 + ... + 45673.

It is an arithmetic number, because the mean of its divisors is an integer number (392445).

Almost surely, 210342120 is an apocalyptic number.

10342120 is a gapful number since it is divisible by the number (10) 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 10342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12558240).

10342120 is an abundant number, since it is smaller than the sum of its proper divisors (14774360).

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

10342120 is a wasteful number, since it uses less digits than its factorization.

10342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 10342120 is about 3215.9166655870. The cubic root of 10342120 is about 217.8728883310.

Adding to 10342120 its reverse (2124301), we get a palindrome (12466421).

The spelling of 10342120 in words is "ten million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 67 68 85 134 136 170 227 268 335 340 454 536 670 680 908 1135 1139 1340 1816 2270 2278 2680 3859 4540 4556 5695 7718 9080 9112 11390 15209 15436 19295 22780 30418 30872 38590 45560 60836 76045 77180 121672 152090 154360 258553 304180 517106 608360 1034212 1292765 2068424 2585530 5171060 10342120