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8820972 = 2232594153
BaseRepresentation
bin100001101001…
…100011101100
3121121011002200
4201221203230
54224232342
6513021500
7134656056
oct41514354
917534080
108820972
114a85366
122b54890
131a9b014
1412588d6
15b9394c
hex8698ec

8820972 has 36 divisors (see below), whose sum is σ = 22680840. Its totient is φ = 2889792.

The previous prime is 8820971. The next prime is 8821003. The reversal of 8820972 is 2790288.

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 not an unprimeable number, because it can be changed into a prime (8820971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48 + ... + 4200.

Almost surely, 28820972 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 8820972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11340420).

8820972 is an abundant number, since it is smaller than the sum of its proper divisors (13859868).

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

8820972 is a wasteful number, since it uses less digits than its factorization.

8820972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8820972 is about 2970.0121211874. The cubic root of 8820972 is about 206.6199003905.

The spelling of 8820972 in words is "eight million, eight hundred twenty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 4153 8306 12459 16612 24918 37377 49836 74754 149508 245027 490054 735081 980108 1470162 2205243 2940324 4410486 8820972