Search a number
-
+
1000209120 = 25352083769
BaseRepresentation
bin111011100111011…
…111101011100000
32120201001212222020
4323213133223200
54022023142440
6243125541440
733533431401
oct7347375340
92521055866
101000209120
11473656a09
1223ab74880
1312c2b1421
1496ba39a8
155cc233d0
hex3b9dfae0

1000209120 has 48 divisors (see below), whose sum is σ = 3150660240. Its totient is φ = 266722304.

The previous prime is 1000209097. The next prime is 1000209139. The reversal of 1000209120 is 219020001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1000209120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1041405 + ... + 1042364.

It is an arithmetic number, because the mean of its divisors is an integer number (65638755).

Almost surely, 21000209120 is an apocalyptic number.

1000209120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000209120 is an abundant number, since it is smaller than the sum of its proper divisors (2150451120).

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

1000209120 is a wasteful number, since it uses less digits than its factorization.

1000209120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083787 (or 2083779 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1000209120 is about 31626.0829063607. The cubic root of 1000209120 is about 1000.0697018082.

Adding to 1000209120 its reverse (219020001), we get a palindrome (1219229121).

The spelling of 1000209120 in words is "one billion, two hundred nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2083769 4167538 6251307 8335076 10418845 12502614 16670152 20837690 25005228 31256535 33340304 41675380 50010456 62513070 66680608 83350760 100020912 125026140 166701520 200041824 250052280 333403040 500104560 1000209120