Search a number
-
+
190112328 = 233271919853
BaseRepresentation
bin10110101010011…
…10001001001000
3111020201201002100
423111032021020
5342132043303
630510433400
74465633230
oct1325161110
9436651070
10190112328
119834a22a
1253802860
1330504903
141b36acc0
1511a548a3
hexb54e248

190112328 has 96 divisors (see below), whose sum is σ = 619444800. Its totient is φ = 51456384.

The previous prime is 190112323. The next prime is 190112333. The reversal of 190112328 is 823211091.

It is an interprime number because it is at equal distance from previous prime (190112323) and next prime (190112333).

It is a super-2 number, since 2×1901123282 = 72285394515159168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (190112323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351 + ... + 19502.

It is an arithmetic number, because the mean of its divisors is an integer number (6452550).

Almost surely, 2190112328 is an apocalyptic number.

190112328 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 190112328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309722400).

190112328 is an abundant number, since it is smaller than the sum of its proper divisors (429332472).

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

190112328 is a wasteful number, since it uses less digits than its factorization.

190112328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19891 (or 19884 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 190112328 is about 13788.1227148586. The cubic root of 190112328 is about 575.0029771743.

The spelling of 190112328 in words is "one hundred ninety million, one hundred twelve thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 9576 19853 39706 59559 79412 119118 138971 158824 178677 238236 277942 357354 377207 416913 476472 555884 714708 754414 833826 1111768 1131621 1250739 1429416 1508828 1667652 2263242 2501478 2640449 3017656 3335304 3394863 4526484 5002956 5280898 6789726 7921347 9052968 10005912 10561796 13579452 15842694 21123592 23764041 27158904 31685388 47528082 63370776 95056164 190112328