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190998864 = 2433731289
BaseRepresentation
bin10110110001001…
…10100101010000
3111022101202012000
423120212211100
5342343430424
630541434000
74506315000
oct1330464520
9438352160
10190998864
11988a5301
1253b6b900
13307552a4
141b51c000
1511b7c3c9
hexb626950

190998864 has 160 divisors (see below), whose sum is σ = 639840000. Its totient is φ = 54528768.

The previous prime is 190998851. The next prime is 190998881. The reversal of 190998864 is 468899091.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 190998864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147532 + ... + 148820.

It is an arithmetic number, because the mean of its divisors is an integer number (3999000).

Almost surely, 2190998864 is an apocalyptic number.

190998864 is a gapful number since it is divisible by the number (14) 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 190998864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319920000).

190998864 is an abundant number, since it is smaller than the sum of its proper divisors (448841136).

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

190998864 is a wasteful number, since it uses less digits than its factorization.

190998864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 190998864 is about 13820.2338619866. The cubic root of 190998864 is about 575.8953803045.

The spelling of 190998864 in words is "one hundred ninety million, nine hundred ninety-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 343 378 392 432 441 504 588 686 756 784 882 1008 1029 1176 1289 1323 1372 1512 1764 2058 2352 2578 2646 2744 3024 3087 3528 3867 4116 5156 5292 5488 6174 7056 7734 8232 9023 9261 10312 10584 11601 12348 15468 16464 18046 18522 20624 21168 23202 24696 27069 30936 34803 36092 37044 46404 49392 54138 61872 63161 69606 72184 74088 81207 92808 108276 126322 139212 144368 148176 162414 185616 189483 216552 243621 252644 278424 324828 378966 433104 442127 487242 505288 556848 568449 649656 757932 884254 974484 1010576 1136898 1299312 1326381 1515864 1705347 1768508 1948968 2273796 2652762 3031728 3410694 3537016 3897936 3979143 4547592 5305524 6821388 7074032 7958286 9095184 10611048 11937429 13642776 15916572 21222096 23874858 27285552 31833144 47749716 63666288 95499432 190998864