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199876096 = 297231257
BaseRepresentation
bin10111110100111…
…01111000000000
3111221002202110101
423322131320000
5402132013341
631500012144
74644630100
oct1372357000
9457082411
10199876096
11a2908962
1256b31054
1332542aa4
141c78d200
1512832831
hexbe9de00

199876096 has 120 divisors (see below), whose sum is σ = 481415616. Its totient is φ = 82575360.

The previous prime is 199876093. The next prime is 199876151. The reversal of 199876096 is 690678991.

199876096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199876093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 777600 + ... + 777856.

Almost surely, 2199876096 is an apocalyptic number.

199876096 is a gapful number since it is divisible by the number (16) 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 199876096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240707808).

199876096 is an abundant number, since it is smaller than the sum of its proper divisors (281539520).

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

199876096 is an equidigital number, since it uses as much as digits as its factorization.

199876096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 55.

The square root of 199876096 is about 14137.7542771120. The cubic root of 199876096 is about 584.6827568638.

The spelling of 199876096 in words is "one hundred ninety-nine million, eight hundred seventy-six thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 128 196 217 224 248 256 257 392 434 448 496 512 514 784 868 896 992 1028 1519 1568 1736 1792 1799 1984 2056 3038 3136 3472 3584 3598 3968 4112 6076 6272 6944 7196 7936 7967 8224 12152 12544 12593 13888 14392 15872 15934 16448 24304 25088 25186 27776 28784 31868 32896 48608 50372 55552 55769 57568 63736 65792 97216 100744 111104 111538 115136 127472 131584 194432 201488 223076 230272 254944 388864 390383 402976 446152 460544 509888 777728 780766 805952 892304 921088 1019776 1561532 1611904 1784608 2039552 3123064 3223808 3569216 4079104 6246128 6447616 7138432 12492256 14276864 24984512 28553728 49969024 99938048 199876096