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1002090000 = 2435433403
BaseRepresentation
bin111011101110101…
…010111000010000
32120211121110001110
4323232222320100
54023013340000
6243234133320
733555424122
oct7356527020
92524543043
101002090000
1147472105a
1223b721240
1312c7bc582
1497133212
155ce95850
hex3bbaae10

1002090000 has 100 divisors (see below), whose sum is σ = 3234976976. Its totient is φ = 267216000.

The previous prime is 1002089969. The next prime is 1002090079. The reversal of 1002090000 is 902001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13299 + ... + 46701.

Almost surely, 21002090000 is an apocalyptic number.

1002090000 is a gapful number since it is divisible by the number (10) 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 1002090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617488488).

1002090000 is an abundant number, since it is smaller than the sum of its proper divisors (2232886976).

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

1002090000 is an equidigital number, since it uses as much as digits as its factorization.

1002090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33434 (or 33413 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1002090000 is about 31655.8051548211. The cubic root of 1002090000 is about 1000.6961818850.

Adding to 1002090000 its reverse (902001), we get a palindrome (1002992001).

The spelling of 1002090000 in words is "one billion, two million, ninety thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 33403 66806 100209 133612 167015 200418 267224 334030 400836 501045 534448 668060 801672 835075 1002090 1336120 1603344 1670150 2004180 2505225 2672240 3340300 4008360 4175375 5010450 6680600 8016720 8350750 10020900 12526125 13361200 16701500 20041800 20876875 25052250 33403000 40083600 41753750 50104500 62630625 66806000 83507500 100209000 125261250 167015000 200418000 250522500 334030000 501045000 1002090000