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9986900 = 22527111297
BaseRepresentation
bin100110000110…
…001101010100
3200210101110012
4212012031110
510024040100
6554015352
7150613220
oct46061524
920711405
109986900
115701340
123417558
1320b8911
14147d780
15d24135
hex986354

9986900 has 72 divisors (see below), whose sum is σ = 27039936. Its totient is φ = 3110400.

The previous prime is 9986897. The next prime is 9986917. The reversal of 9986900 is 96899.

9986900 = 6202 + 6212 + ... + 6442.

It is a super-2 number, since 2×99869002 = 199476343220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7052 + ... + 8348.

Almost surely, 29986900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9986900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13519968).

9986900 is an abundant number, since it is smaller than the sum of its proper divisors (17053036).

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

9986900 is a wasteful number, since it uses less digits than its factorization.

9986900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 41.

The square root of 9986900 is about 3160.2056895082. The cubic root of 9986900 is about 215.3493509115.

The spelling of 9986900 in words is "nine million, nine hundred eighty-six thousand, nine hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1297 1540 1925 2594 3850 5188 6485 7700 9079 12970 14267 18158 25940 28534 32425 36316 45395 57068 64850 71335 90790 99869 129700 142670 181580 199738 226975 285340 356675 399476 453950 499345 713350 907900 998690 1426700 1997380 2496725 4993450 9986900