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1009413620 = 22553952277
BaseRepresentation
bin111100001010100…
…110110111110100
32121100101112011122
4330022212313310
54031402213440
6244055123112
734004605565
oct7412466764
92540345148
101009413620
11478873436
12242073498
13131184b87
14980bc16c
155d9407b5
hex3c2a6df4

1009413620 has 24 divisors (see below), whose sum is σ = 2159766504. Its totient is φ = 396146816.

The previous prime is 1009413611. The next prime is 1009413677. The reversal of 1009413620 is 263149001.

It can be written as a sum of positive squares in 4 ways, for example, as 150454756 + 858958864 = 12266^2 + 29308^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1009413620.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 475079 + ... + 477198.

It is an arithmetic number, because the mean of its divisors is an integer number (89990271).

Almost surely, 21009413620 is an apocalyptic number.

1009413620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009413620 is an abundant number, since it is smaller than the sum of its proper divisors (1150352884).

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

1009413620 is a wasteful number, since it uses less digits than its factorization.

1009413620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952339 (or 952337 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 1009413620 is about 31771.2703554642. The cubic root of 1009413620 is about 1003.1280782571.

The spelling of 1009413620 in words is "one billion, nine million, four hundred thirteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 952277 1904554 3809108 4761385 9522770 19045540 50470681 100941362 201882724 252353405 504706810 1009413620