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190646946 = 234734773
BaseRepresentation
bin10110101110100…
…00101010100010
3111021201212110000
423113100222202
5342301200241
630530120430
74503321000
oct1327205242
9437655400
10190646946
1198684966
1253a20116
1330661059
141b469a70
1511b0ceb6
hexb5d0aa2

190646946 has 160 divisors (see below), whose sum is σ = 515750400. Its totient is φ = 52581312.

The previous prime is 190646927. The next prime is 190646971. The reversal of 190646946 is 649646091.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 2611566 + ... + 2611638.

It is an arithmetic number, because the mean of its divisors is an integer number (3223440).

Almost surely, 2190646946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190646946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257875200).

190646946 is an abundant number, since it is smaller than the sum of its proper divisors (325103454).

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

190646946 is an equidigital number, since it uses as much as digits as its factorization.

190646946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 190646946 is about 13807.4960076040. The cubic root of 190646946 is about 575.5414644982.

The spelling of 190646946 in words is "one hundred ninety million, six hundred forty-six thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 49 54 63 73 81 94 98 126 141 146 147 162 189 219 282 294 329 343 378 423 438 441 511 567 657 658 686 846 882 987 1022 1029 1134 1269 1314 1323 1533 1971 1974 2058 2303 2538 2646 2961 3066 3087 3431 3577 3807 3942 3969 4599 4606 5913 5922 6174 6862 6909 7154 7614 7938 8883 9198 9261 10293 10731 11826 13797 13818 16121 17766 18522 20586 20727 21462 24017 25039 26649 27594 27783 30879 32193 32242 41391 41454 48034 48363 50078 53298 55566 61758 62181 64386 72051 75117 82782 92637 96579 96726 124362 144102 145089 150234 168119 185274 186543 193158 216153 225351 277911 289737 290178 336238 373086 432306 435267 450702 504357 555822 579474 648459 676053 870534 1008714 1176833 1296918 1305801 1352106 1513071 1945377 2028159 2353666 2611602 3026142 3530499 3890754 4056318 4539213 7060998 9078426 10591497 13617639 21182994 27235278 31774491 63548982 95323473 190646946