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8940816 = 2432292141
BaseRepresentation
bin100010000110…
…110100010000
3121211020111100
4202012310100
54242101231
6515344400
7135665343
oct42066420
917736440
108940816
115057405
122bb2100
131b10731
14128a45a
15bb91e6
hex886d10

8940816 has 60 divisors (see below), whose sum is σ = 25896780. Its totient is φ = 2876160.

The previous prime is 8940809. The next prime is 8940839. The reversal of 8940816 is 6180498.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6969600 + 1971216 = 2640^2 + 1404^2 .

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, 3106 + ... + 5246.

It is an arithmetic number, because the mean of its divisors is an integer number (431613).

Almost surely, 28940816 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 8940816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12948390).

8940816 is an abundant number, since it is smaller than the sum of its proper divisors (16955964).

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

8940816 is a wasteful number, since it uses less digits than its factorization.

8940816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8940816 is about 2990.1197300443. The cubic root of 8940816 is about 207.5514248118.

The spelling of 8940816 in words is "eight million, nine hundred forty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 2141 4176 4282 6423 8564 12846 17128 19269 25692 34256 38538 51384 62089 77076 102768 124178 154152 186267 248356 308304 372534 496712 558801 745068 993424 1117602 1490136 2235204 2980272 4470408 8940816