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1001099904 = 27371312843
BaseRepresentation
bin111011101010111…
…001001010000000
32120202202010220020
4323222321022000
54022240144104
6243201013440
733544131420
oct7352711200
92522663806
101001099904
114741051a2
1223b324280
1312c533a0c
1496d56480
155cd4c2d9
hex3bab9280

1001099904 has 128 divisors (see below), whose sum is σ = 3063329280. Its totient is φ = 283745280.

The previous prime is 1001099903. The next prime is 1001099971. The reversal of 1001099904 is 4099901001.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1001099903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350707 + ... + 353549.

It is an arithmetic number, because the mean of its divisors is an integer number (23932260).

Almost surely, 21001099904 is an apocalyptic number.

1001099904 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 1001099904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531664640).

1001099904 is an abundant number, since it is smaller than the sum of its proper divisors (2062229376).

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

1001099904 is a wasteful number, since it uses less digits than its factorization.

1001099904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 1001099904 is about 31640.1628314394. The cubic root of 1001099904 is about 1000.3665003278.

The spelling of 1001099904 in words is "one billion, one million, ninety-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 131 168 192 224 262 336 384 393 448 524 672 786 896 917 1048 1344 1572 1834 2096 2688 2751 2843 3144 3668 4192 5502 5686 6288 7336 8384 8529 11004 11372 12576 14672 16768 17058 19901 22008 22744 25152 29344 34116 39802 44016 45488 50304 58688 59703 68232 79604 88032 90976 117376 119406 136464 159208 176064 181952 238812 272928 318416 352128 363904 372433 477624 545856 636832 744866 955248 1091712 1117299 1273664 1489732 1910496 2234598 2547328 2607031 2979464 3820992 4469196 5214062 5958928 7641984 7821093 8938392 10428124 11917856 15642186 17876784 20856248 23835712 31284372 35753568 41712496 47671424 62568744 71507136 83424992 125137488 143014272 166849984 250274976 333699968 500549952 1001099904