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9890820 = 2232554949
BaseRepresentation
bin100101101110…
…110000000100
3200121111122200
4211232300010
510013001240
6551554500
7150033132
oct45566004
920544580
109890820
115646135
12338ba30
132083c74
141456752
15d05930
hex96ec04

9890820 has 36 divisors (see below), whose sum is σ = 30002700. Its totient is φ = 2637504.

The previous prime is 9890813. The next prime is 9890833. The reversal of 9890820 is 280989.

It can be written as a sum of positive squares in 2 ways, for example, as 3326976 + 6563844 = 1824^2 + 2562^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27295 + ... + 27654.

Almost surely, 29890820 is an apocalyptic number.

9890820 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9890820 is an abundant number, since it is smaller than the sum of its proper divisors (20111880).

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

9890820 is a wasteful number, since it uses less digits than its factorization.

9890820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54964 (or 54959 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 9890820 is about 3144.9674084162. The cubic root of 9890820 is about 214.6565274757.

The spelling of 9890820 in words is "nine million, eight hundred ninety thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 54949 109898 164847 219796 274745 329694 494541 549490 659388 824235 989082 1098980 1648470 1978164 2472705 3296940 4945410 9890820