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190857984 = 2831811373
BaseRepresentation
bin10110110000001…
…00001100000000
3111022010120221020
423120010030000
5342324423414
630534425440
74505160162
oct1330041400
9438116836
10190857984
1198809479
1253b02280
1330706125
141b4c2932
1511b507a9
hexb604300

190857984 has 72 divisors (see below), whose sum is σ = 511138992. Its totient is φ = 63221760.

The previous prime is 190857943. The next prime is 190858007. The reversal of 190857984 is 489758091.

190857984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138322 + ... + 139694.

Almost surely, 2190857984 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 190857984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255569496).

190857984 is an abundant number, since it is smaller than the sum of its proper divisors (320281008).

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

190857984 is a wasteful number, since it uses less digits than its factorization.

190857984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The square root of 190857984 is about 13815.1360471043. The cubic root of 190857984 is about 575.7537527659.

The spelling of 190857984 in words is "one hundred ninety million, eight hundred fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 256 362 384 543 724 768 1086 1373 1448 2172 2746 2896 4119 4344 5492 5792 8238 8688 10984 11584 16476 17376 21968 23168 32952 34752 43936 46336 65904 69504 87872 131808 139008 175744 248513 263616 351488 497026 527232 745539 994052 1054464 1491078 1988104 2982156 3976208 5964312 7952416 11928624 15904832 23857248 31809664 47714496 63619328 95428992 190857984