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1160066004 = 2232931191563
BaseRepresentation
bin100010100100101…
…0011001111010100
32222211212110101120
41011021103033110
54333434103004
6311040123540
740514253426
oct10511231724
92884773346
101160066004
11545910839
122846065b0
131564519b6
14b00d6816
156bc9d3d9
hex452533d4

1160066004 has 96 divisors (see below), whose sum is σ = 2910781440. Its totient is φ = 358780800.

The previous prime is 1160065993. The next prime is 1160066041. The reversal of 1160066004 is 4006600611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2060227 + ... + 2060789.

It is an arithmetic number, because the mean of its divisors is an integer number (30320640).

Almost surely, 21160066004 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 1160066004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455390720).

1160066004 is an abundant number, since it is smaller than the sum of its proper divisors (1750715436).

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

1160066004 is a wasteful number, since it uses less digits than its factorization.

1160066004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1160066004 is about 34059.7416901538. The cubic root of 1160066004 is about 1050.7375027306.

Adding to 1160066004 its reverse (4006600611), we get a palindrome (5166666615).

The spelling of 1160066004 in words is "one billion, one hundred sixty million, sixty-six thousand, four".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 191 348 372 382 563 573 764 899 1126 1146 1689 1798 2252 2292 2697 3378 3596 5394 5539 5921 6756 10788 11078 11842 16327 16617 17453 17763 22156 23684 32654 33234 34906 35526 48981 52359 65308 66468 69812 71052 97962 104718 107533 171709 195924 209436 215066 322599 343418 430132 506137 515127 645198 686836 1012274 1030254 1290396 1518411 2024548 2060508 3036822 3118457 3333523 6073644 6236914 6667046 9355371 10000569 12473828 13334092 18710742 20001138 37421484 40002276 96672167 193344334 290016501 386688668 580033002 1160066004