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199852120 = 23513384331
BaseRepresentation
bin10111110100110…
…00000001011000
3111221001112120101
423322120001120
5402130231440
631455305144
74644500146
oct1372300130
9457045511
10199852120
11a28a1946
1256b1b1b4
1332534bc0
141c784596
151282a69a
hexbe98058

199852120 has 32 divisors (see below), whose sum is σ = 484258320. Its totient is φ = 73791360.

The previous prime is 199852117. The next prime is 199852123. The reversal of 199852120 is 21258991.

It is an interprime number because it is at equal distance from previous prime (199852117) and next prime (199852123).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 199852120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199852123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191646 + ... + 192685.

Almost surely, 2199852120 is an apocalyptic number.

199852120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199852120 is an abundant number, since it is smaller than the sum of its proper divisors (284406200).

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

199852120 is a wasteful number, since it uses less digits than its factorization.

199852120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384355 (or 384351 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 199852120 is about 14136.9063093733. The cubic root of 199852120 is about 584.6593775226.

The spelling of 199852120 in words is "one hundred ninety-nine million, eight hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 384331 768662 1537324 1921655 3074648 3843310 4996303 7686620 9992606 15373240 19985212 24981515 39970424 49963030 99926060 199852120