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67960944 = 2434411279
BaseRepresentation
bin1000000110100…
…00000001110000
311201212202220000
410003100001300
5114344222234
610424350000
71453441602
oct403200160
9151782800
1067960944
11353a9077
121a915300
131110669c
149051172
155e76899
hex40d0070

67960944 has 100 divisors (see below), whose sum is σ = 201653760. Its totient is φ = 22083840.

The previous prime is 67960939. The next prime is 67961009. The reversal of 67960944 is 44906976.

It is a super-2 number, since 2×679609442 = 9237379818742272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67960944.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 52497 + ... + 53775.

Almost surely, 267960944 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 67960944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100826880).

67960944 is an abundant number, since it is smaller than the sum of its proper divisors (133692816).

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

67960944 is a wasteful number, since it uses less digits than its factorization.

67960944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 67960944 is about 8243.8427932609. The cubic root of 67960944 is about 408.0873515392.

The spelling of 67960944 in words is "sixty-seven million, nine hundred sixty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 246 324 328 369 432 492 648 656 738 984 1107 1279 1296 1476 1968 2214 2558 2952 3321 3837 4428 5116 5904 6642 7674 8856 10232 11511 13284 15348 17712 20464 23022 26568 30696 34533 46044 52439 53136 61392 69066 92088 103599 104878 138132 157317 184176 207198 209756 276264 314634 414396 419512 471951 552528 629268 828792 839024 943902 1258536 1415853 1657584 1887804 2517072 2831706 3775608 4247559 5663412 7551216 8495118 11326824 16990236 22653648 33980472 67960944