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67996516 = 2272192312
BaseRepresentation
bin1000000110110…
…00101101100100
311201221120200111
410003120231210
5114401342031
610425222404
71453650400
oct403305544
9151846614
1067996516
1135422875
121a931a04
1311119933
149060100
155e821b1
hex40d8b64

67996516 has 81 divisors (see below), whose sum is σ = 150954867. Its totient is φ = 26717040.

The previous prime is 67996501. The next prime is 67996519. The reversal of 67996516 is 61569976.

The square root of 67996516 is 8246.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 67996516.

It is not an unprimeable number, because it can be changed into a prime (67996519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2193421 + ... + 2193451.

Almost surely, 267996516 is an apocalyptic number.

67996516 is the 8246-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67996516

67996516 is an abundant number, since it is smaller than the sum of its proper divisors (82958351).

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

67996516 is a wasteful number, since it uses less digits than its factorization.

67996516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 59 counting only the distinct ones).

The product of its digits is 612360, while the sum is 49.

The cubic root of 67996516 is about 408.1585392460.

Multiplying 67996516 by its sum of digits (49), we get a square (3331829284 = 577222).

67996516 divided by its sum of digits (49) gives a square (1387684 = 11782).

The spelling of 67996516 in words is "sixty-seven million, nine hundred ninety-six thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 19 28 31 38 49 62 76 98 124 133 196 217 266 361 434 532 589 722 868 931 961 1178 1444 1519 1862 1922 2356 2527 3038 3724 3844 4123 5054 6076 6727 8246 10108 11191 13454 16492 17689 18259 22382 26908 28861 35378 36518 44764 47089 57722 70756 73036 78337 94178 115444 127813 156674 188356 255626 313348 346921 511252 548359 693842 894691 1096718 1387684 1789382 2193436 2428447 3578764 4856894 9713788 16999129 33998258 67996516