[go: up one dir, main page]

Search a number
-
+
169213968 = 24337115087
BaseRepresentation
bin10100001011000…
…00000000010000
3102210101221221000
422011200000100
5321304321333
624442502000
74123203120
oct1205400020
9383357830
10169213968
1187575a60
1248804900
1329098611
141868ac80
15ecc7713
hexa160010

169213968 has 160 divisors (see below), whose sum is σ = 605675520. Its totient is φ = 43943040.

The previous prime is 169213963. The next prime is 169213969. The reversal of 169213968 is 869312961.

It is a happy number.

169213968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (169213963) 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, 30721 + ... + 35807.

It is an arithmetic number, because the mean of its divisors is an integer number (3785472).

Almost surely, 2169213968 is an apocalyptic number.

169213968 is a gapful number since it is divisible by the number (18) 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 169213968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302837760).

169213968 is an abundant number, since it is smaller than the sum of its proper divisors (436461552).

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

169213968 is a wasteful number, since it uses less digits than its factorization.

169213968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5122 (or 5110 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 169213968 is about 13008.2269352898. The cubic root of 169213968 is about 553.1107125295.

The spelling of 169213968 in words is "one hundred sixty-nine million, two hundred thirteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4752 5087 5544 8316 10174 11088 15261 16632 20348 30522 33264 35609 40696 45783 55957 61044 71218 81392 91566 106827 111914 122088 137349 142436 167871 183132 213654 223828 244176 274698 284872 320481 335742 366264 391699 427308 447656 503613 549396 569744 640962 671484 732528 783398 854616 895312 961443 1007226 1098792 1175097 1281924 1342968 1510839 1566796 1709232 1922886 2014452 2197584 2350194 2563848 2685936 3021678 3133592 3525291 3845772 4028904 4700388 5127696 6043356 6267184 7050582 7691544 8057808 9400776 10575873 12086712 14101164 15383088 18801552 21151746 24173424 28202328 42303492 56404656 84606984 169213968