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1009164390 = 235133183471
BaseRepresentation
bin111100001001101…
…010000001100110
32121022220212021220
4330021222001212
54031321230030
6244045521210
734002520143
oct7411520146
92538825256
101009164390
11478713163
12241b73206
131310c85c0
14980553ca
155d8e1a10
hex3c26a066

1009164390 has 64 divisors (see below), whose sum is σ = 2692472832. Its totient is φ = 240393600.

The previous prime is 1009164341. The next prime is 1009164449. The reversal of 1009164390 is 934619001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29646 + ... + 53825.

It is an arithmetic number, because the mean of its divisors is an integer number (42069888).

Almost surely, 21009164390 is an apocalyptic number.

1009164390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1009164390 is an abundant number, since it is smaller than the sum of its proper divisors (1683308442).

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

1009164390 is a wasteful number, since it uses less digits than its factorization.

1009164390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83525.

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 1009164390 is about 31767.3478590832. The cubic root of 1009164390 is about 1003.0455121068.

The spelling of 1009164390 in words is "one billion, nine million, one hundred sixty-four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 310 390 403 465 806 930 1209 2015 2418 4030 6045 12090 83471 166942 250413 417355 500826 834710 1085123 1252065 2170246 2504130 2587601 3255369 5175202 5425615 6510738 7762803 10851230 12938005 15525606 16276845 25876010 32553690 33638813 38814015 67277626 77628030 100916439 168194065 201832878 336388130 504582195 1009164390