Search a number
-
+
102422320 = 245711131279
BaseRepresentation
bin1100001101011…
…01011100110000
321010201121000021
412012231130300
5202210003240
614055133224
72352401230
oct606553460
9233647007
10102422320
11528a6450
122a374214
13182b1230
14d861cc0
158ed254a
hex61ad730

102422320 has 160 divisors (see below), whose sum is σ = 319979520. Its totient is φ = 29445120.

The previous prime is 102422317. The next prime is 102422329. The reversal of 102422320 is 23224201.

It is a super-3 number, since 3×1024223203 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102422294 and 102422303.

It is not an unprimeable number, because it can be changed into a prime (102422329) 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, 79441 + ... + 80719.

It is an arithmetic number, because the mean of its divisors is an integer number (1999872).

Almost surely, 2102422320 is an apocalyptic number.

102422320 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 102422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989760).

102422320 is an abundant number, since it is smaller than the sum of its proper divisors (217557200).

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

102422320 is a wasteful number, since it uses less digits than its factorization.

102422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 102422320 is about 10120.3912967829. The cubic root of 102422320 is about 467.8768273509.

Adding to 102422320 its reverse (23224201), we get a palindrome (125646521).

The spelling of 102422320 in words is "one hundred two million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 130 140 143 154 176 182 208 220 260 280 286 308 364 385 440 455 520 560 572 616 715 728 770 880 910 1001 1040 1144 1232 1279 1430 1456 1540 1820 2002 2288 2558 2860 3080 3640 4004 5005 5116 5720 6160 6395 7280 8008 8953 10010 10232 11440 12790 14069 16016 16627 17906 20020 20464 25580 28138 33254 35812 40040 44765 51160 56276 66508 70345 71624 80080 83135 89530 98483 102320 112552 116389 133016 140690 143248 166270 179060 182897 196966 225104 232778 266032 281380 332540 358120 365794 393932 465556 492415 562760 581945 665080 716240 731588 787864 914485 931112 984830 1125520 1163890 1280279 1330160 1463176 1575728 1828970 1862224 1969660 2327780 2560558 2926352 3657940 3939320 4655560 5121116 6401395 7315880 7878640 9311120 10242232 12802790 14631760 20484464 25605580 51211160 102422320