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76120704 = 2732116007
BaseRepresentation
bin1001000100110…
…00001010000000
312022020022222100
410202120022000
5123441330304
611315310400
71613005152
oct442301200
9168208870
1076120704
1139a71680
12215ab400
1312a0274a
14a176ad2
156a39439
hex4898280

76120704 has 96 divisors (see below), whose sum is σ = 238998240. Its totient is φ = 23063040.

The previous prime is 76120703. The next prime is 76120727. The reversal of 76120704 is 40702167.

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

It is not an unprimeable number, because it can be changed into a prime (76120703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9669 + ... + 15675.

It is an arithmetic number, because the mean of its divisors is an integer number (2489565).

Almost surely, 276120704 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 76120704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119499120).

76120704 is an abundant number, since it is smaller than the sum of its proper divisors (162877536).

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

76120704 is a wasteful number, since it uses less digits than its factorization.

76120704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6038 (or 6023 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 76120704 is about 8724.7179897118. The cubic root of 76120704 is about 423.8064858003.

The spelling of 76120704 in words is "seventy-six million, one hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6007 6336 12014 12672 18021 24028 36042 48056 54063 66077 72084 96112 108126 132154 144168 192224 198231 216252 264308 288336 384448 396462 432504 528616 576672 594693 768896 792924 865008 1057232 1153344 1189386 1585848 1730016 2114464 2306688 2378772 3171696 3460032 4228928 4757544 6343392 6920064 8457856 9515088 12686784 19030176 25373568 38060352 76120704