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172066680 = 23345232309
BaseRepresentation
bin10100100000110…
…00011101111000
3102222202220010000
422100120131320
5323022113210
625023553000
74156354062
oct1220303570
9388686100
10172066680
1189144275
124975b760
1329856c06
1418bd0732
151018cac0
hexa418778

172066680 has 160 divisors (see below), whose sum is σ = 603741600. Its totient is φ = 43870464.

The previous prime is 172066669. The next prime is 172066691. The reversal of 172066680 is 86660271.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (172066669) and next prime (172066691).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73366 + ... + 75674.

It is an arithmetic number, because the mean of its divisors is an integer number (3773385).

Almost surely, 2172066680 is an apocalyptic number.

172066680 is a gapful number since it is divisible by the number (10) 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 172066680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301870800).

172066680 is an abundant number, since it is smaller than the sum of its proper divisors (431674920).

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

172066680 is a wasteful number, since it uses less digits than its factorization.

172066680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 172066680 is about 13117.4189534374. The cubic root of 172066680 is about 556.2016331299.

The spelling of 172066680 in words is "one hundred seventy-two million, sixty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 81 90 92 108 115 120 135 138 162 180 184 207 216 230 270 276 324 345 360 405 414 460 540 552 621 648 690 810 828 920 1035 1080 1242 1380 1620 1656 1863 2070 2309 2484 2760 3105 3240 3726 4140 4618 4968 6210 6927 7452 8280 9236 9315 11545 12420 13854 14904 18472 18630 20781 23090 24840 27708 34635 37260 41562 46180 53107 55416 62343 69270 74520 83124 92360 103905 106214 124686 138540 159321 166248 187029 207810 212428 249372 265535 277080 311715 318642 374058 415620 424856 477963 498744 531070 623430 637284 748116 796605 831240 935145 955926 1062140 1246860 1274568 1433889 1496232 1593210 1870290 1911852 2124280 2389815 2493720 2867778 3186420 3740580 3823704 4301667 4779630 5735556 6372840 7169445 7481160 8603334 9559260 11471112 14338890 17206668 19118520 21508335 28677780 34413336 43016670 57355560 86033340 172066680