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1141706240 = 295895011
BaseRepresentation
bin100010000001101…
…0000111000000000
32221120022200112022
41010003100320000
54314234044430
6305142421012
740202225423
oct10403207000
92846280468
101141706240
11536510884
1227a431768
131526c402c
14ab8b79ba
156a3734e5
hex440d0e00

1141706240 has 80 divisors (see below), whose sum is σ = 2768729040. Its totient is φ = 451461120.

The previous prime is 1141706239. The next prime is 1141706263. The reversal of 1141706240 is 426071411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225335 + ... + 230345.

It is an arithmetic number, because the mean of its divisors is an integer number (34609113).

Almost surely, 21141706240 is an apocalyptic number.

1141706240 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 1141706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384364520).

1141706240 is an abundant number, since it is smaller than the sum of its proper divisors (1627022800).

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

1141706240 is an frugal number, since it uses more digits than its factorization.

1141706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5123 (or 5107 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1141706240 is about 33789.1438186883. The cubic root of 1141706240 is about 1045.1648404906.

Adding to 1141706240 its reverse (426071411), we get a palindrome (1567777651).

The spelling of 1141706240 in words is "one billion, one hundred forty-one million, seven hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 256 320 356 445 512 640 712 890 1280 1424 1780 2560 2848 3560 5011 5696 7120 10022 11392 14240 20044 22784 25055 28480 40088 45568 50110 56960 80176 100220 113920 160352 200440 227840 320704 400880 445979 641408 801760 891958 1282816 1603520 1783916 2229895 2565632 3207040 3567832 4459790 6414080 7135664 8919580 12828160 14271328 17839160 28542656 35678320 57085312 71356640 114170624 142713280 228341248 285426560 570853120 1141706240