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2000134176 = 253291275657
BaseRepresentation
bin111011100110111…
…1010000000100000
312011101121100021120
41313031322000200
513044013243201
6530245452240
7100364600655
oct16715720040
95141540246
102000134176
11937029457
12479a11080
1325b4c3461
1414d8d1c2c
15ba8dc536
hex7737a020

2000134176 has 96 divisors (see below), whose sum is σ = 5475133440. Its totient is φ = 638539776.

The previous prime is 2000134127. The next prime is 2000134189. The reversal of 2000134176 is 6714310002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 350740 + ... + 356396.

It is an arithmetic number, because the mean of its divisors is an integer number (57032640).

Almost surely, 22000134176 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 2000134176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737566720).

2000134176 is an abundant number, since it is smaller than the sum of its proper divisors (3474999264).

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

2000134176 is a wasteful number, since it uses less digits than its factorization.

2000134176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5826 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2000134176 is about 44722.8596581211. The cubic root of 2000134176 is about 1259.9492244593.

Adding to 2000134176 its reverse (6714310002), we get a palindrome (8714444178).

The spelling of 2000134176 in words is "two billion, one hundred thirty-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 127 174 232 254 348 381 464 508 696 762 928 1016 1392 1524 2032 2784 3048 3683 4064 5657 6096 7366 11049 11314 12192 14732 16971 22098 22628 29464 33942 44196 45256 58928 67884 88392 90512 117856 135768 164053 176784 181024 271536 328106 353568 492159 543072 656212 718439 984318 1312424 1436878 1968636 2155317 2624848 2873756 3937272 4310634 5249696 5747512 7874544 8621268 11495024 15749088 17242536 20834731 22990048 34485072 41669462 62504193 68970144 83338924 125008386 166677848 250016772 333355696 500033544 666711392 1000067088 2000134176