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172289940 = 223531211439
BaseRepresentation
bin10100100010011…
…10111110010100
3110000012020100220
422101032332110
5323101234230
625032434340
74161304014
oct1221167624
9400166326
10172289940
1189286a89
12498489b0
1329904714
1418c4bc44
15101d3d10
hexa44ef94

172289940 has 96 divisors (see below), whose sum is σ = 501473280. Its totient is φ = 44150400.

The previous prime is 172289939. The next prime is 172289947. The reversal of 172289940 is 49982271.

172289940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 172289892 and 172289901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172289947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392241 + ... + 392679.

It is an arithmetic number, because the mean of its divisors is an integer number (5223680).

Almost surely, 2172289940 is an apocalyptic number.

172289940 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 172289940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250736640).

172289940 is an abundant number, since it is smaller than the sum of its proper divisors (329183340).

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

172289940 is a wasteful number, since it uses less digits than its factorization.

172289940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 172289940 is about 13125.9262530307. The cubic root of 172289940 is about 556.4420901195.

The spelling of 172289940 in words is "one hundred seventy-two million, two hundred eighty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 211 310 372 422 439 465 620 633 844 878 930 1055 1266 1317 1756 1860 2110 2195 2532 2634 3165 4220 4390 5268 6330 6541 6585 8780 12660 13082 13170 13609 19623 26164 26340 27218 32705 39246 40827 54436 65410 68045 78492 81654 92629 98115 130820 136090 163308 185258 196230 204135 272180 277887 370516 392460 408270 463145 555774 816540 926290 1111548 1389435 1852580 2778870 2871499 5557740 5742998 8614497 11485996 14357495 17228994 28714990 34457988 43072485 57429980 86144970 172289940