Search a number
-
+
1990971200 = 26521244357
BaseRepresentation
bin111011010101011…
…1100111101000000
312010202100211001002
41312222330331000
513034142034300
6525321231132
7100223655521
oct16652747500
95122324032
101990971200
11931940149
124769324a8
1325963588a
1414c5c8848
15b9bcc5d5
hex76abcf40

1990971200 has 42 divisors (see below), whose sum is σ = 4899037446. Its totient is φ = 796387840.

The previous prime is 1990971197. The next prime is 1990971211. The reversal of 1990971200 is 21790991.

It can be written as a sum of positive squares in 3 ways, for example, as 142659136 + 1848312064 = 11944^2 + 42992^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 620579 + ... + 623778.

Almost surely, 21990971200 is an apocalyptic number.

1990971200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1990971200 is an abundant number, since it is smaller than the sum of its proper divisors (2908066246).

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

1990971200 is a wasteful number, since it uses less digits than its factorization.

1990971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244379 (or 1244364 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 38.

The square root of 1990971200 is about 44620.3003127500. The cubic root of 1990971200 is about 1258.0222605278.

The spelling of 1990971200 in words is "one billion, nine hundred ninety million, nine hundred seventy-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 1244357 2488714 4977428 6221785 9954856 12443570 19909712 24887140 31108925 39819424 49774280 62217850 79638848 99548560 124435700 199097120 248871400 398194240 497742800 995485600 1990971200