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1002009204 = 223471074129
BaseRepresentation
bin111011101110010…
…111001001110100
32120211110100020000
4323232113021310
54023003243304
6243232311300
733554636430
oct7356271164
92524410200
101002009204
11474676389
1223b6a2530
1312c791871
14971119c0
155ce7b939
hex3bb97274

1002009204 has 120 divisors (see below), whose sum is σ = 3022367040. Its totient is φ = 283544064.

The previous prime is 1002009199. The next prime is 1002009233. The reversal of 1002009204 is 4029002001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 240612 + ... + 244740.

It is an arithmetic number, because the mean of its divisors is an integer number (25186392).

Almost surely, 21002009204 is an apocalyptic number.

1002009204 is a gapful number since it is divisible by the number (14) 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 1002009204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511183520).

1002009204 is an abundant number, since it is smaller than the sum of its proper divisors (2020357836).

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

1002009204 is a wasteful number, since it uses less digits than its factorization.

1002009204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1002009204 is about 31654.5289650628. The cubic root of 1002009204 is about 1000.6692866221.

The spelling of 1002009204 in words is "one billion, two million, nine thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 107 108 126 162 189 214 252 321 324 378 428 567 642 749 756 963 1134 1284 1498 1926 2247 2268 2889 2996 3852 4129 4494 5778 6741 8258 8667 8988 11556 12387 13482 16516 17334 20223 24774 26964 28903 34668 37161 40446 49548 57806 60669 74322 80892 86709 111483 115612 121338 148644 173418 222966 242676 260127 334449 346836 441803 445932 520254 668898 780381 883606 1040508 1325409 1337796 1560762 1767212 2341143 2650818 3092621 3121524 3976227 4682286 5301636 6185242 7952454 9277863 9364572 11928681 12370484 15904908 18555726 23857362 27833589 35786043 37111452 47714724 55667178 71572086 83500767 111334356 143144172 167001534 250502301 334003068 501004602 1002009204