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9010480 = 245235983
BaseRepresentation
bin100010010111…
…110100110000
3121221210001111
4202113310300
54301313410
6521043104
7136405423
oct42276460
917853044
109010480
1150a4786
123026494
131b3635b
1412a79ba
15bceb8a
hex897d30

9010480 has 80 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 3348224.

The previous prime is 9010471. The next prime is 9010481. The reversal of 9010480 is 840109.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (9010481) 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 15 ways as a sum of consecutive naturals, for example, 108519 + ... + 108601.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 29010480 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 9010480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

9010480 is an abundant number, since it is smaller than the sum of its proper divisors (13488080).

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

9010480 is a wasteful number, since it uses less digits than its factorization.

9010480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 9010480 is about 3001.7461584884. The cubic root of 9010480 is about 208.0890890555.

Adding to 9010480 its reverse (840109), we get a palindrome (9850589).

The spelling of 9010480 in words is "nine million, ten thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 59 80 83 92 115 118 166 184 230 236 295 332 368 415 460 472 590 664 830 920 944 1180 1328 1357 1660 1840 1909 2360 2714 3320 3818 4720 4897 5428 6640 6785 7636 9545 9794 10856 13570 15272 19090 19588 21712 24485 27140 30544 38180 39176 48970 54280 76360 78352 97940 108560 112631 152720 195880 225262 391760 450524 563155 901048 1126310 1802096 2252620 4505240 9010480