Search a number
-
+
190695384 = 23341131863
BaseRepresentation
bin10110101110111…
…00011111011000
3111021211022220000
423113130133120
5342304223014
630531133000
74503612135
oct1327343730
9437738800
10190695384
11987082a0
1253a44160
133067a109
141b47d58c
1511b1c509
hexb5dc7d8

190695384 has 160 divisors (see below), whose sum is σ = 602173440. Its totient is φ = 55857600.

The previous prime is 190695371. The next prime is 190695397. The reversal of 190695384 is 483596091.

It is a happy number.

190695384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (190695371) and next prime (190695397).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220537 + ... + 221399.

It is an arithmetic number, because the mean of its divisors is an integer number (3763584).

Almost surely, 2190695384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190695384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301086720).

190695384 is an abundant number, since it is smaller than the sum of its proper divisors (411478056).

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

190695384 is a wasteful number, since it uses less digits than its factorization.

190695384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 190695384 is about 13809.2499434256. The cubic root of 190695384 is about 575.5902033099.

The spelling of 190695384 in words is "one hundred ninety million, six hundred ninety-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 81 88 93 99 108 124 132 162 186 198 216 248 264 279 297 324 341 372 396 558 594 648 682 744 792 837 863 891 1023 1116 1188 1364 1674 1726 1782 2046 2232 2376 2511 2589 2728 3069 3348 3452 3564 4092 5022 5178 6138 6696 6904 7128 7767 8184 9207 9493 10044 10356 12276 15534 18414 18986 20088 20712 23301 24552 26753 27621 28479 31068 36828 37972 46602 53506 55242 56958 62136 69903 73656 75944 80259 85437 93204 107012 110484 113916 139806 160518 170874 186408 214024 220968 227832 240777 256311 279612 294283 321036 341748 481554 512622 559224 588566 642072 683496 722331 768933 882849 963108 1025244 1177132 1444662 1537866 1765698 1926216 2050488 2166993 2354264 2648547 2889324 3075732 3531396 4333986 5297094 5778648 6151464 7062792 7945641 8667972 10594188 15891282 17335944 21188376 23836923 31782564 47673846 63565128 95347692 190695384