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1001020092 = 2231973137439
BaseRepresentation
bin111011101010100…
…101101010111100
32120202121002102020
4323222211222330
54022230120332
6243155200140
733543346632
oct7352455274
92522532366
101001020092
11474060236
1223b2a6050
1312c5065a7
1496d35352
155cd3382c
hex3baa5abc

1001020092 has 96 divisors (see below), whose sum is σ = 2516236800. Its totient is φ = 308800512.

The previous prime is 1001020087. The next prime is 1001020093. The reversal of 1001020092 is 2900201001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001020093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2280009 + ... + 2280447.

It is an arithmetic number, because the mean of its divisors is an integer number (26210800).

Almost surely, 21001020092 is an apocalyptic number.

1001020092 is a gapful number since it is divisible by the number (12) 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 1001020092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258118400).

1001020092 is an abundant number, since it is smaller than the sum of its proper divisors (1515216708).

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

1001020092 is a wasteful number, since it uses less digits than its factorization.

1001020092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 673 counting only the distinct ones).

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

The square root of 1001020092 is about 31638.9015612110. The cubic root of 1001020092 is about 1000.3399151113.

Adding to 1001020092 its reverse (2900201001), we get a palindrome (3901221093).

The spelling of 1001020092 in words is "one billion, one million, twenty thousand, ninety-two".

Divisors: 1 2 3 4 6 12 19 38 57 73 76 114 137 146 219 228 274 292 411 438 439 548 822 876 878 1317 1387 1644 1756 2603 2634 2774 4161 5206 5268 5548 7809 8322 8341 10001 10412 15618 16644 16682 20002 25023 30003 31236 32047 33364 40004 50046 60006 60143 64094 96141 100092 120012 120286 128188 180429 190019 192282 240572 360858 380038 384564 570057 608893 721716 760076 1140114 1142717 1217786 1826679 2280228 2285434 2435572 3428151 3653358 4390439 4570868 6856302 7306716 8780878 13171317 13712604 17561756 26342634 52685268 83418341 166836682 250255023 333673364 500510046 1001020092