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1160143956 = 223229432601
BaseRepresentation
bin100010100100110…
…0110010001010100
32222212000102022200
41011021212101110
54333444101311
6311041524500
740515026616
oct10511462124
92885012280
101160143956
11545964364
12284643730
1315647b31a
14b0116db6
156bcb6556
hex45266454

1160143956 has 108 divisors (see below), whose sum is σ = 3111069780. Its totient is φ = 364089600.

The previous prime is 1160143951. The next prime is 1160143967. The reversal of 1160143956 is 6593410611.

1160143956 is a `hidden beast` number, since 1 + 1 + 601 + 43 + 9 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 805424400 + 354719556 = 28380^2 + 18834^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1160143956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1160143951) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1930056 + ... + 1930656.

Almost surely, 21160143956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1160143956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555534890).

1160143956 is an abundant number, since it is smaller than the sum of its proper divisors (1950925824).

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

1160143956 is a wasteful number, since it uses less digits than its factorization.

1160143956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1160143956 is about 34060.8860131383. The cubic root of 1160143956 is about 1050.7610373844.

The spelling of 1160143956 in words is "one billion, one hundred sixty million, one hundred forty-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 43 58 86 87 116 129 172 174 258 261 348 387 516 522 601 774 1044 1202 1247 1548 1803 1849 2404 2494 3606 3698 3741 4988 5409 5547 7212 7396 7482 10818 11094 11223 14964 16641 17429 21636 22188 22446 25843 33282 34858 44892 51686 52287 53621 66564 69716 77529 103372 104574 107242 155058 156861 160863 209148 214484 232587 310116 313722 321726 465174 482589 627444 643452 749447 930348 965178 1111249 1498894 1930356 2222498 2248341 2997788 3333747 4444996 4496682 6667494 6745023 8993364 10001241 13334988 13490046 20002482 26980092 32226221 40004964 64452442 96678663 128904884 193357326 290035989 386714652 580071978 1160143956