Search a number
-
+
172068840 = 233351071489
BaseRepresentation
bin10100100000110…
…00111111101000
3102222210000002000
422100120333220
5323022200330
625024011000
74156363266
oct1220307750
9388700060
10172068840
1189145959
1249760a60
1329857ba8
1418bd1436
151018d560
hexa418fe8

172068840 has 128 divisors (see below), whose sum is σ = 579312000. Its totient is φ = 45425664.

The previous prime is 172068823. The next prime is 172068847. The reversal of 172068840 is 48860271.

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 = 172068795 and 172068804.

It is not an unprimeable number, because it can be changed into a prime (172068847) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 114816 + ... + 116304.

It is an arithmetic number, because the mean of its divisors is an integer number (4525875).

Almost surely, 2172068840 is an apocalyptic number.

172068840 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 172068840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289656000).

172068840 is an abundant number, since it is smaller than the sum of its proper divisors (407243160).

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

172068840 is a wasteful number, since it uses less digits than its factorization.

172068840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 172068840 is about 13117.5012864493. The cubic root of 172068840 is about 556.2039605038.

The spelling of 172068840 in words is "one hundred seventy-two million, sixty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 107 108 120 135 180 214 216 270 321 360 428 535 540 642 856 963 1070 1080 1284 1489 1605 1926 2140 2568 2889 2978 3210 3852 4280 4467 4815 5778 5956 6420 7445 7704 8934 9630 11556 11912 12840 13401 14445 14890 17868 19260 22335 23112 26802 28890 29780 35736 38520 40203 44670 53604 57780 59560 67005 80406 89340 107208 115560 134010 159323 160812 178680 201015 268020 318646 321624 402030 477969 536040 637292 796615 804060 955938 1274584 1433907 1593230 1608120 1911876 2389845 2867814 3186460 3823752 4301721 4779690 5735628 6372920 7169535 8603442 9559380 11471256 14339070 17206884 19118760 21508605 28678140 34413768 43017210 57356280 86034420 172068840