[go: up one dir, main page]

Search a number
-
+
1142013210 = 2351312723057
BaseRepresentation
bin100010000010001…
…1011110100011010
32221120220021121120
41010010123310122
54314323410320
6305153150110
740204644402
oct10404336432
92846807546
101142013210
11536700478
1227a55b336
131527a0980
14ab957802
156a3d4440
hex4411bd1a

1142013210 has 64 divisors (see below), whose sum is σ = 2975035392. Its totient is φ = 278885376.

The previous prime is 1142013209. The next prime is 1142013217. The reversal of 1142013210 is 123102411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1142013210.

It is not an unprimeable number, because it can be changed into a prime (1142013217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38002 + ... + 61058.

It is an arithmetic number, because the mean of its divisors is an integer number (46484928).

Almost surely, 21142013210 is an apocalyptic number.

1142013210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142013210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487517696).

1142013210 is an abundant number, since it is smaller than the sum of its proper divisors (1833022182).

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

1142013210 is a wasteful number, since it uses less digits than its factorization.

1142013210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23207.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1142013210 is about 33793.6859487094. The cubic root of 1142013210 is about 1045.2585030837.

Adding to 1142013210 its reverse (123102411), we get a palindrome (1265115621).

The spelling of 1142013210 in words is "one billion, one hundred forty-two million, thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 127 130 195 254 381 390 635 762 1270 1651 1905 3302 3810 4953 8255 9906 16510 23057 24765 46114 49530 69171 115285 138342 230570 299741 345855 599482 691710 899223 1498705 1798446 2928239 2997410 4496115 5856478 8784717 8992230 14641195 17569434 29282390 38067107 43923585 76134214 87847170 114201321 190335535 228402642 380671070 571006605 1142013210