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1930190920 = 235767310243
BaseRepresentation
bin111001100001100…
…0110000001001000
311222111222212011121
41303003012001020
512423112102140
6515310405024
765555231530
oct16303060110
94874885147
101930190920
119005a7009
1245a500774
13249b74708
141444c64c0
15b46c364a
hex730c6048

1930190920 has 64 divisors (see below), whose sum is σ = 4971208320. Its totient is φ = 660731904.

The previous prime is 1930190909. The next prime is 1930191031. The reversal of 1930190920 is 290910391.

It is an unprimeable number.

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, 183319 + ... + 193561.

It is an arithmetic number, because the mean of its divisors is an integer number (77675130).

Almost surely, 21930190920 is an apocalyptic number.

1930190920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1930190920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485604160).

1930190920 is an abundant number, since it is smaller than the sum of its proper divisors (3041017400).

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

1930190920 is a wasteful number, since it uses less digits than its factorization.

1930190920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10934 (or 10930 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 34.

The square root of 1930190920 is about 43933.9381344309. The cubic root of 1930190920 is about 1245.0881202983.

The spelling of 1930190920 in words is "one billion, nine hundred thirty million, one hundred ninety thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 673 1346 2692 3365 4711 5384 6730 9422 10243 13460 18844 20486 23555 26920 37688 40972 47110 51215 71701 81944 94220 102430 143402 188440 204860 286804 358505 409720 573608 717010 1434020 2868040 6893539 13787078 27574156 34467695 48254773 55148312 68935390 96509546 137870780 193019092 241273865 275741560 386038184 482547730 965095460 1930190920