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1166836056 = 2331941139449
BaseRepresentation
bin100010110001100…
…1000000101011000
310000022121102011020
41011203020011120
54342202223211
6311441202440
740625641251
oct10543100530
93008542136
101166836056
11549715221
12286930420
13157982349
14b0d79b28
156c689306
hex458c8158

1166836056 has 128 divisors (see below), whose sum is σ = 3175200000. Its totient is φ = 356106240.

The previous prime is 1166836051. The next prime is 1166836061. The reversal of 1166836056 is 6506386611.

It is an interprime number because it is at equal distance from previous prime (1166836051) and next prime (1166836061).

It is a junction number, because it is equal to n+sod(n) for n = 1166835999 and 1166836017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166836051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2598520 + ... + 2598968.

It is an arithmetic number, because the mean of its divisors is an integer number (24806250).

Almost surely, 21166836056 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 1166836056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587600000).

1166836056 is an abundant number, since it is smaller than the sum of its proper divisors (2008363944).

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

1166836056 is a wasteful number, since it uses less digits than its factorization.

1166836056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 1166836056 is about 34158.9820691425. The cubic root of 1166836056 is about 1052.7775459029. Note that the first 3 decimals are identical.

The spelling of 1166836056 in words is "one billion, one hundred sixty-six million, eight hundred thirty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 41 57 76 82 114 123 139 152 164 228 246 278 328 417 449 456 492 556 779 834 898 984 1112 1347 1558 1668 1796 2337 2641 2694 3116 3336 3592 4674 5282 5388 5699 6232 7923 8531 9348 10564 10776 11398 15846 17062 17097 18409 18696 21128 22796 25593 31692 34124 34194 36818 45592 51186 55227 62411 63384 68248 68388 73636 102372 108281 110454 124822 136776 147272 187233 204744 216562 220908 249644 324843 349771 374466 433124 441816 499288 649686 699542 748932 866248 1049313 1185809 1299372 1399084 1497864 2098626 2371618 2558851 2598744 2798168 3557427 4197252 4743236 5117702 7114854 7676553 8394504 9486472 10235404 14229708 15353106 20470808 28459416 30706212 48618169 61412424 97236338 145854507 194472676 291709014 388945352 583418028 1166836056