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1009145910 = 23533638197
BaseRepresentation
bin111100001001100…
…101100000110110
32121022212220221110
4330021211200312
54031320132120
6244045255450
734002412233
oct7411454066
92538786843
101009145910
11478700293
12241b64586
131310c0076
149804c78a
155d8db2e0
hex3c265836

1009145910 has 16 divisors (see below), whose sum is σ = 2421950256. Its totient is φ = 269105568.

The previous prime is 1009145873. The next prime is 1009145911. The reversal of 1009145910 is 195419001.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 33638197 = 1009145910 / (1 + 0 + 0 + 9 + 1 + 4 + 5 + 9 + 1 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009145911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16819069 + ... + 16819128.

It is an arithmetic number, because the mean of its divisors is an integer number (151371891).

Almost surely, 21009145910 is an apocalyptic number.

1009145910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1009145910 is an abundant number, since it is smaller than the sum of its proper divisors (1412804346).

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

1009145910 is a wasteful number, since it uses less digits than its factorization.

1009145910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33638207.

The product of its (nonzero) digits is 1620, while the sum is 30.

The square root of 1009145910 is about 31767.0569930549. The cubic root of 1009145910 is about 1003.0393894194.

The spelling of 1009145910 in words is "one billion, nine million, one hundred forty-five thousand, nine hundred ten".

Divisors: 1 2 3 5 6 10 15 30 33638197 67276394 100914591 168190985 201829182 336381970 504572955 1009145910