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1166045504 = 261317194339
BaseRepresentation
bin100010110000000…
…0111000101000000
310000021010020201112
41011200013011000
54342001424004
6311412222452
740616136401
oct10540070500
93007106645
101166045504
11549225278
1228660aa28
13157766570
14b0c119a8
156c57ee6e
hex45807140

1166045504 has 112 divisors (see below), whose sum is σ = 2777947200. Its totient is φ = 479748096.

The previous prime is 1166045473. The next prime is 1166045533. The reversal of 1166045504 is 4055406611.

It is a super-2 number, since 2×11660455042 = 2719324234797228032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266567 + ... + 270905.

It is an arithmetic number, because the mean of its divisors is an integer number (24803100).

Almost surely, 21166045504 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 1166045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388973600).

1166045504 is an abundant number, since it is smaller than the sum of its proper divisors (1611901696).

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

1166045504 is a wasteful number, since it uses less digits than its factorization.

1166045504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 1166045504 is about 34147.4084521798. The cubic root of 1166045504 is about 1052.5397337380.

The spelling of 1166045504 in words is "one billion, one hundred sixty-six million, forty-five thousand, five hundred four".

Divisors: 1 2 4 8 13 16 17 19 26 32 34 38 52 64 68 76 104 136 152 208 221 247 272 304 323 416 442 494 544 608 646 832 884 988 1088 1216 1292 1768 1976 2584 3536 3952 4199 4339 5168 7072 7904 8398 8678 10336 14144 15808 16796 17356 20672 33592 34712 56407 67184 69424 73763 82441 112814 134368 138848 147526 164882 225628 268736 277696 295052 329764 451256 590104 659528 902512 958919 1071733 1180208 1319056 1401497 1805024 1917838 2143466 2360416 2638112 2802994 3610048 3835676 4286932 4720832 5276224 5605988 7671352 8573864 11211976 15342704 17147728 18219461 22423952 30685408 34295456 36438922 44847904 61370816 68590912 72877844 89695808 145755688 291511376 583022752 1166045504