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179968068 = 22347731087
BaseRepresentation
bin10101011101000…
…01100001000100
3110112122022210000
422232201201010
5332032434233
625505201300
74313463150
oct1256414104
9415568700
10179968068
1192650745
1250330230
132b3924a7
1419c8a060
1510bedd13
hexaba1844

179968068 has 120 divisors (see below), whose sum is σ = 545549312. Its totient is φ = 50668416.

The previous prime is 179968049. The next prime is 179968079. The reversal of 179968068 is 860869971.

179968068 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 165021 + ... + 166107.

Almost surely, 2179968068 is an apocalyptic number.

179968068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 179968068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272774656).

179968068 is an abundant number, since it is smaller than the sum of its proper divisors (365581244).

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

179968068 is a wasteful number, since it uses less digits than its factorization.

179968068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 179968068 is about 13415.2177768384. The cubic root of 179968068 is about 564.5882273958.

The spelling of 179968068 in words is "one hundred seventy-nine million, nine hundred sixty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 73 81 84 108 126 146 162 189 219 252 292 324 378 438 511 567 657 756 876 1022 1087 1134 1314 1533 1971 2044 2174 2268 2628 3066 3261 3942 4348 4599 5913 6132 6522 7609 7884 9198 9783 11826 13044 13797 15218 18396 19566 22827 23652 27594 29349 30436 39132 41391 45654 55188 58698 68481 79351 82782 88047 91308 117396 136962 158702 165564 176094 205443 238053 273924 317404 352188 410886 476106 555457 616329 714159 821772 952212 1110914 1232658 1428318 1666371 2142477 2221828 2465316 2856636 3332742 4284954 4999113 6427431 6665484 8569908 9998226 12854862 14997339 19996452 25709724 29994678 44992017 59989356 89984034 179968068