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1141706020 = 2257131016211
BaseRepresentation
bin100010000001101…
…0000110100100100
32221120022200020011
41010003100310210
54314234043040
6305142420004
740202224660
oct10403206444
92846280204
101141706020
115365106a4
1227a431604
131526c3bc0
14ab8b78a0
156a3733ea
hex440d0d24

1141706020 has 96 divisors (see below), whose sum is σ = 2980567296. Its totient is φ = 357696000.

The previous prime is 1141705969. The next prime is 1141706023. The reversal of 1141706020 is 206071411.

It is a super-2 number, since 2×11417060202 = 2606985272208480800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1141705982 and 1141706000.

It is not an unprimeable number, because it can be changed into a prime (1141706023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180715 + ... + 186925.

It is an arithmetic number, because the mean of its divisors is an integer number (31047576).

Almost surely, 21141706020 is an apocalyptic number.

1141706020 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 1141706020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490283648).

1141706020 is an abundant number, since it is smaller than the sum of its proper divisors (1838861276).

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

1141706020 is a wasteful number, since it uses less digits than its factorization.

1141706020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6341 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 1141706020 is about 33789.1405632046. The cubic root of 1141706020 is about 1045.1647733582.

Adding to 1141706020 its reverse (206071411), we get a palindrome (1347777431).

The spelling of 1141706020 in words is "one billion, one hundred forty-one million, seven hundred six thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 101 130 140 182 202 260 364 404 455 505 707 910 1010 1313 1414 1820 2020 2626 2828 3535 5252 6211 6565 7070 9191 12422 13130 14140 18382 24844 26260 31055 36764 43477 45955 62110 80743 86954 91910 124220 161486 173908 183820 217385 322972 403715 434770 565201 627311 807430 869540 1130402 1254622 1614860 2260804 2509244 2826005 3136555 4391177 5652010 6273110 8155043 8782354 11304020 12546220 16310086 17564708 21955885 32620172 40775215 43911770 57085301 81550430 87823540 114170602 163100860 228341204 285426505 570853010 1141706020