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190403328 = 2832983103
BaseRepresentation
bin10110101100101…
…01001100000000
3111021021111021010
423112111030000
5342220401303
630521000520
74501254513
oct1326251400
9437244233
10190403328
1198528925
1253923140
13305a71bb
141b404d7a
1511ab0c03
hexb595300

190403328 has 144 divisors (see below), whose sum is σ = 535691520. Its totient is φ = 59953152.

The previous prime is 190403309. The next prime is 190403341. The reversal of 190403328 is 823304091.

It is a junction number, because it is equal to n+sod(n) for n = 190403295 and 190403304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1848525 + ... + 1848627.

It is an arithmetic number, because the mean of its divisors is an integer number (3720080).

Almost surely, 2190403328 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 190403328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267845760).

190403328 is an abundant number, since it is smaller than the sum of its proper divisors (345288192).

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

190403328 is a wasteful number, since it uses less digits than its factorization.

190403328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 190403328 is about 13798.6712403767. The cubic root of 190403328 is about 575.2962083162.

The spelling of 190403328 in words is "one hundred ninety million, four hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 83 87 96 103 116 128 166 174 192 206 232 249 256 309 332 348 384 412 464 498 618 664 696 768 824 928 996 1236 1328 1392 1648 1856 1992 2407 2472 2656 2784 2987 3296 3712 3984 4814 4944 5312 5568 5974 6592 7221 7424 7968 8549 8961 9628 9888 10624 11136 11948 13184 14442 15936 17098 17922 19256 19776 21248 22272 23896 25647 26368 28884 31872 34196 35844 38512 39552 47792 51294 57768 63744 68392 71688 77024 79104 95584 102588 115536 136784 143376 154048 191168 205176 231072 247921 273568 286752 308096 382336 410352 462144 495842 547136 573504 616192 743763 764672 820704 924288 991684 1094272 1147008 1487526 1641408 1848576 1983368 2188544 2294016 2975052 3282816 3966736 5950104 6565632 7933472 11900208 15866944 23800416 31733888 47600832 63467776 95201664 190403328