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172841940 = 2232543137163
BaseRepresentation
bin10100100110101…
…01101111010100
3110001020021120100
422103111233110
5323221420230
625052334100
74166063235
oct1223255724
9401207510
10172841940
1189623787
1249a74330
1329a68a4b
1418d5308c
1510292660
hexa4d5bd4

172841940 has 144 divisors (see below), whose sum is σ = 543711168. Its totient is φ = 44416512.

The previous prime is 172841927. The next prime is 172841951. The reversal of 172841940 is 49148271.

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

It is a junction number, because it is equal to n+sod(n) for n = 172841895 and 172841904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1060299 + ... + 1060461.

It is an arithmetic number, because the mean of its divisors is an integer number (3775772).

Almost surely, 2172841940 is an apocalyptic number.

172841940 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 172841940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271855584).

172841940 is an abundant number, since it is smaller than the sum of its proper divisors (370869228).

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

172841940 is a wasteful number, since it uses less digits than its factorization.

172841940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 172841940 is about 13146.9365252898. The cubic root of 172841940 is about 557.0357184800.

The spelling of 172841940 in words is "one hundred seventy-two million, eight hundred forty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 137 163 172 180 215 258 274 326 387 411 430 489 516 548 645 652 685 774 815 822 860 978 1233 1290 1370 1467 1548 1630 1644 1935 1956 2055 2445 2466 2580 2740 2934 3260 3870 4110 4890 4932 5868 5891 6165 7009 7335 7740 8220 9780 11782 12330 14018 14670 17673 21027 22331 23564 24660 28036 29340 29455 35045 35346 42054 44662 53019 58910 63081 66993 70090 70692 84108 88365 89324 105135 106038 111655 117820 126162 133986 140180 176730 200979 210270 212076 223310 252324 265095 267972 315405 334965 353460 401958 420540 446620 530190 630810 669930 803916 960233 1004895 1060380 1261620 1339860 1920466 2009790 2880699 3840932 4019580 4801165 5761398 8642097 9602330 11522796 14403495 17284194 19204660 28806990 34568388 43210485 57613980 86420970 172841940