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8890420 = 22571123251
BaseRepresentation
bin100001111010…
…100000110100
3121201200100211
4201322200310
54233443140
6514315204
7135365410
oct41724064
917650324
108890420
115022560
122b88b04
131ac3806
141275d40
15ba92ea
hex87a834

8890420 has 96 divisors (see below), whose sum is σ = 24385536. Its totient is φ = 2640000.

The previous prime is 8890411. The next prime is 8890421. The reversal of 8890420 is 240988.

8890420 = T155 + T156 + ... + T384.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8890421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35295 + ... + 35545.

It is an arithmetic number, because the mean of its divisors is an integer number (254016).

Almost surely, 28890420 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 8890420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192768).

8890420 is an abundant number, since it is smaller than the sum of its proper divisors (15495116).

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

8890420 is a wasteful number, since it uses less digits than its factorization.

8890420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 8890420 is about 2981.6807340827. The cubic root of 8890420 is about 207.1607268430.

The spelling of 8890420 in words is "eight million, eight hundred ninety thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 23 28 35 44 46 55 70 77 92 110 115 140 154 161 220 230 251 253 308 322 385 460 502 506 644 770 805 1004 1012 1255 1265 1540 1610 1757 1771 2510 2530 2761 3220 3514 3542 5020 5060 5522 5773 7028 7084 8785 8855 11044 11546 13805 17570 17710 19327 23092 27610 28865 35140 35420 38654 40411 55220 57730 63503 77308 80822 96635 115460 127006 161644 193270 202055 254012 317515 386540 404110 444521 635030 808220 889042 1270060 1778084 2222605 4445210 8890420