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172930160 = 24513257647
BaseRepresentation
bin10100100111010…
…11010001110000
3110001101202120202
422103223101300
5323232231120
625054254332
74166611364
oct1223532160
9401352522
10172930160
1189683a97
1249ab73a8
1329a99c50
1418d772a4
15102ad875
hexa4eb470

172930160 has 80 divisors (see below), whose sum is σ = 435347136. Its totient is φ = 63504384.

The previous prime is 172930151. The next prime is 172930187. The reversal of 172930160 is 61039271.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 266957 + ... + 267603.

Almost surely, 2172930160 is an apocalyptic number.

172930160 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 172930160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217673568).

172930160 is an abundant number, since it is smaller than the sum of its proper divisors (262416976).

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

172930160 is a wasteful number, since it uses less digits than its factorization.

172930160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 172930160 is about 13150.2912515275. The cubic root of 172930160 is about 557.1304742873.

The spelling of 172930160 in words is "one hundred seventy-two million, nine hundred thirty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 257 260 514 520 647 1028 1040 1285 1294 2056 2570 2588 3235 3341 4112 5140 5176 6470 6682 8411 10280 10352 12940 13364 16705 16822 20560 25880 26728 33410 33644 42055 51760 53456 66820 67288 84110 133640 134576 166279 168220 267280 332558 336440 665116 672880 831395 1330232 1662790 2161627 2660464 3325580 4323254 6651160 8646508 10808135 13302320 17293016 21616270 34586032 43232540 86465080 172930160