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67981284 = 223272337317
BaseRepresentation
bin1000000110101…
…00111111100100
311201220210210100
410003110333210
5114400400114
610425024100
71453555110
oct403247744
9151823710
1067981284
1135412388
121a925030
1311112a17
149058740
155e7c909
hex40d4fe4

67981284 has 144 divisors (see below), whose sum is σ = 211131648. Its totient is φ = 18019584.

The previous prime is 67981253. The next prime is 67981313. The reversal of 67981284 is 48218976.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 214294 + ... + 214610.

It is an arithmetic number, because the mean of its divisors is an integer number (1466192).

Almost surely, 267981284 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 67981284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105565824).

67981284 is an abundant number, since it is smaller than the sum of its proper divisors (143150364).

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

67981284 is a wasteful number, since it uses less digits than its factorization.

67981284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 389 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 67981284 is about 8245.0763489491. The cubic root of 67981284 is about 408.1280595709.

It can be divided in two parts, 67981 and 284, that added together give a triangular number (68265 = T369).

The spelling of 67981284 in words is "sixty-seven million, nine hundred eighty-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 37 42 46 63 69 74 84 92 111 126 138 148 161 207 222 252 259 276 317 322 333 414 444 483 518 634 644 666 777 828 851 951 966 1036 1268 1332 1449 1554 1702 1902 1932 2219 2331 2553 2853 2898 3108 3404 3804 4438 4662 5106 5706 5796 5957 6657 7291 7659 8876 9324 10212 11412 11729 11914 13314 14582 15318 17871 19971 21873 23458 23828 26628 29164 30636 35187 35742 39942 43746 46916 51037 53613 65619 70374 71484 79884 82103 87492 102074 105561 107226 131238 140748 153111 164206 204148 211122 214452 246309 262476 269767 306222 328412 422244 459333 492618 539534 612444 738927 809301 918666 985236 1079068 1477854 1618602 1837332 1888369 2427903 2955708 3237204 3776738 4855806 5665107 7553476 9711612 11330214 16995321 22660428 33990642 67981284