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76002106740 = 223571009317929
BaseRepresentation
bin100011011001000010…
…1000001110101110100
321021011201101001110020
41012302011001311310
52221123014403430
654525340525140
75330255151060
oct1066205016564
9237151331406
1076002106740
112a26123176a
1212890b507b0
137222aa02c1
14396dc12aa0
151e9c512b10
hex11b2141d74

76002106740 has 96 divisors (see below), whose sum is σ = 243244404480. Its totient is φ = 17369220096.

The previous prime is 76002106727. The next prime is 76002106757. The reversal of 76002106740 is 4760120067.

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, 4230096 + ... + 4248024.

It is an arithmetic number, because the mean of its divisors is an integer number (2533795880).

Almost surely, 276002106740 is an apocalyptic number.

76002106740 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76002106740 is an abundant number, since it is smaller than the sum of its proper divisors (167242297740).

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

76002106740 is a wasteful number, since it uses less digits than its factorization.

76002106740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28041 (or 28039 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

It can be divided in two parts, 7600210 and 6740, that added together give a triangular number (7606950 = T3900).

The spelling of 76002106740 in words is "seventy-six billion, two million, one hundred six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 10093 17929 20186 30279 35858 40372 50465 53787 60558 70651 71716 89645 100930 107574 121116 125503 141302 151395 179290 201860 211953 215148 251006 268935 282604 302790 353255 358580 376509 423906 502012 537870 605580 627515 706510 753018 847812 1059765 1075740 1255030 1413020 1506036 1882545 2119530 2510060 3765090 4239060 7530180 180957397 361914794 542872191 723829588 904786985 1085744382 1266701779 1809573970 2171488764 2533403558 2714360955 3619147940 3800105337 5066807116 5428721910 6333508895 7600210674 10857443820 12667017790 15200421348 19000526685 25334035580 38001053370 76002106740