Search a number
-
+
190309152 = 253111710601
BaseRepresentation
bin10110101011111…
…10001100100000
3111021002201002010
423111332030200
5342204343102
630514552520
74500413115
oct1325761440
9437081063
10190309152
11984740a0
1253898740
1330573387
141b3bc90c
1511a92d6c
hexb57e320

190309152 has 96 divisors (see below), whose sum is σ = 577088064. Its totient is φ = 54272000.

The previous prime is 190309151. The next prime is 190309177. The reversal of 190309152 is 251903091.

190309152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (190309151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12652 + ... + 23252.

It is an arithmetic number, because the mean of its divisors is an integer number (6011334).

Almost surely, 2190309152 is an apocalyptic number.

190309152 is a gapful number since it is divisible by the number (12) 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 190309152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288544032).

190309152 is an abundant number, since it is smaller than the sum of its proper divisors (386778912).

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

190309152 is a wasteful number, since it uses less digits than its factorization.

190309152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10642 (or 10634 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 190309152 is about 13795.2583158127. The cubic root of 190309152 is about 575.2013429737.

It can be divided in two parts, 19030 and 9152, that added together give a palindrome (28182).

The spelling of 190309152 in words is "one hundred ninety million, three hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8976 10601 17952 21202 31803 42404 63606 84808 116611 127212 169616 180217 233222 254424 339232 349833 360434 466444 508848 540651 699666 720868 932888 1017696 1081302 1399332 1441736 1865776 1982387 2162604 2798664 2883472 3731552 3964774 4325208 5597328 5766944 5947161 7929548 8650416 11194656 11894322 15859096 17300832 23788644 31718192 47577288 63436384 95154576 190309152