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76150116 = 223274881
BaseRepresentation
bin1001000100111…
…11010101100100
312022021211022200
410202133111210
5123443300431
611320054500
71613160000
oct442372544
9168254280
1076150116
1139a91789
1221604430
1312a12c53
14a183700
156a42ee6
hex489f564

76150116 has 90 divisors (see below), whose sum is σ = 224813862. Its totient is φ = 21732480.

The previous prime is 76150099. The next prime is 76150117. The reversal of 76150116 is 61105167.

It can be written as a sum of positive squares in only one way, i.e., 54022500 + 22127616 = 7350^2 + 4704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 76150116.

It is not an unprimeable number, because it can be changed into a prime (76150117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 85996 + ... + 86876.

Almost surely, 276150116 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 76150116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112406931).

76150116 is an abundant number, since it is smaller than the sum of its proper divisors (148663746).

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

76150116 is a wasteful number, since it uses less digits than its factorization.

76150116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 76150116 is about 8726.4033828376. The cubic root of 76150116 is about 423.8610631168.

The spelling of 76150116 in words is "seventy-six million, one hundred fifty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 881 882 1029 1372 1762 1764 2058 2401 2643 3087 3524 4116 4802 5286 6167 6174 7203 7929 9604 10572 12334 12348 14406 15858 18501 21609 24668 28812 31716 37002 43169 43218 55503 74004 86338 86436 111006 129507 172676 222012 259014 302183 388521 518028 604366 777042 906549 1208732 1554084 1813098 2115281 2719647 3626196 4230562 5439294 6345843 8461124 10878588 12691686 19037529 25383372 38075058 76150116