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9982260 = 2232555457
BaseRepresentation
bin100110000101…
…000100110100
3200210011002100
4212011010310
510023413020
6553542100
7150563541
oct46050464
920704070
109982260
1156a8902
123414930
1320b6782
14147bbc8
15d22a90
hex985134

9982260 has 36 divisors (see below), whose sum is σ = 30280068. Its totient is φ = 2661888.

The previous prime is 9982243. The next prime is 9982303. The reversal of 9982260 is 622899.

It can be written as a sum of positive squares in 2 ways, for example, as 1089936 + 8892324 = 1044^2 + 2982^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 27549 + ... + 27908.

It is an arithmetic number, because the mean of its divisors is an integer number (841113).

Almost surely, 29982260 is an apocalyptic number.

9982260 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9982260 is an abundant number, since it is smaller than the sum of its proper divisors (20297808).

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

9982260 is a wasteful number, since it uses less digits than its factorization.

9982260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55472 (or 55467 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9982260 is about 3159.4714747881. The cubic root of 9982260 is about 215.3159946890.

The spelling of 9982260 in words is "nine million, nine hundred eighty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 55457 110914 166371 221828 277285 332742 499113 554570 665484 831855 998226 1109140 1663710 1996452 2495565 3327420 4991130 9982260