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66994928 = 24711134789
BaseRepresentation
bin1111111110010…
…0001011110000
311200001200202122
43333210023300
5114122314203
610351533412
71442306330
oct377441360
9150050678
1066994928
11348a9310
121a52a268
1310b58a90
148c7d0c0
155d35538
hex3fe42f0

66994928 has 160 divisors (see below), whose sum is σ = 179988480. Its totient is φ = 23316480.

The previous prime is 66994927. The next prime is 66994933. The reversal of 66994928 is 82949966.

It is a self number, because there is not a number n which added to its sum of digits gives 66994928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66994927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 752708 + ... + 752796.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928).

Almost surely, 266994928 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 66994928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

66994928 is an abundant number, since it is smaller than the sum of its proper divisors (112993552).

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

66994928 is a wasteful number, since it uses less digits than its factorization.

66994928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 53.

The square root of 66994928 is about 8185.0429442978. The cubic root of 66994928 is about 406.1445609442.

The spelling of 66994928 in words is "sixty-six million, nine hundred ninety-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 47 52 56 77 88 89 91 94 104 112 143 154 176 178 182 188 208 286 308 329 356 364 376 517 572 611 616 623 658 712 728 752 979 1001 1034 1144 1157 1222 1232 1246 1316 1424 1456 1958 2002 2068 2288 2314 2444 2492 2632 3619 3916 4004 4136 4183 4277 4628 4888 4984 5264 6721 6853 7238 7832 8008 8099 8272 8366 8554 9256 9776 9968 12727 13442 13706 14476 15664 16016 16198 16732 17108 18512 25454 26884 27412 28952 29281 32396 33464 34216 46013 47047 50908 53768 54379 54824 57904 58562 64792 66928 68432 89089 92026 94094 101816 107536 108758 109648 117124 129584 178178 184052 188188 203632 217516 234248 322091 356356 368104 376376 380653 435032 468496 598169 644182 712712 736208 752752 761306 870064 1196338 1288364 1425424 1522612 2392676 2576728 3045224 4187183 4785352 5153456 6090448 8374366 9570704 16748732 33497464 66994928