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10089960 = 2335471789
BaseRepresentation
bin100110011111…
…010111101000
3200222121211020
4212133113220
510040334320
61000132440
7151522536
oct46372750
920877736
1010089960
115771811
123467120
1321237ba
1414a9156
15d44940
hex99f5e8

10089960 has 64 divisors (see below), whose sum is σ = 30931200. Its totient is φ = 2631936.

The previous prime is 10089953. The next prime is 10089967. The reversal of 10089960 is 6998001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10089953) and next prime (10089967).

It is not an unprimeable number, because it can be changed into a prime (10089967) 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, 4746 + ... + 6534.

It is an arithmetic number, because the mean of its divisors is an integer number (483300).

Almost surely, 210089960 is an apocalyptic number.

10089960 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 10089960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15465600).

10089960 is an abundant number, since it is smaller than the sum of its proper divisors (20841240).

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

10089960 is a wasteful number, since it uses less digits than its factorization.

10089960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 10089960 is about 3176.4697385620. The cubic root of 10089960 is about 216.0875845085.

The spelling of 10089960 in words is "ten million, eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1789 1880 2820 3578 5367 5640 7156 8945 10734 14312 17890 21468 26835 35780 42936 53670 71560 84083 107340 168166 214680 252249 336332 420415 504498 672664 840830 1008996 1261245 1681660 2017992 2522490 3363320 5044980 10089960