Search a number
-
+
67770990 = 23257971109
BaseRepresentation
bin1000000101000…
…01101001101110
311201112010022200
410002201221232
5114322132430
610420322330
71452021030
oct402415156
9151463280
1067770990
1135289391
121a8433a6
131106b0a1
149001c50
155e3a460
hex40a1a6e

67770990 has 96 divisors (see below), whose sum is σ = 203636160. Its totient is φ = 15316992.

The previous prime is 67770971. The next prime is 67771001. The reversal of 67770990 is 9907776.

It is a super-3 number, since 3×677709903 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 60556 + ... + 61664.

It is an arithmetic number, because the mean of its divisors is an integer number (2121210).

Almost surely, 267770990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67770990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101818080).

67770990 is an abundant number, since it is smaller than the sum of its proper divisors (135865170).

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

67770990 is a wasteful number, since it uses less digits than its factorization.

67770990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 67770990 is about 8232.3137695304. The cubic root of 67770990 is about 407.7067890448.

The spelling of 67770990 in words is "sixty-seven million, seven hundred seventy thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 97 105 126 194 210 291 315 485 582 630 679 873 970 1109 1358 1455 1746 2037 2218 2910 3327 3395 4074 4365 5545 6111 6654 6790 7763 8730 9981 10185 11090 12222 15526 16635 19962 20370 23289 30555 33270 38815 46578 49905 61110 69867 77630 99810 107573 116445 139734 215146 232890 322719 349335 537865 645438 698670 753011 968157 1075730 1506022 1613595 1936314 2259033 3227190 3765055 4518066 4840785 6777099 7530110 9681570 11295165 13554198 22590330 33885495 67770990