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1954928640 = 2113579091
BaseRepresentation
bin111010010000101…
…1101100000000000
312001020112122221110
41310201131200000
513000430204030
6521552523320
766305422260
oct16441354000
95036478843
101954928640
11913562905
12466850540
13252026412
141478c57a0
15b695d1b0
hex7485d800

1954928640 has 192 divisors, whose sum is σ = 7148494080. Its totient is φ = 446791680.

The previous prime is 1954928621. The next prime is 1954928641. The reversal of 1954928640 is 468294591.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1954928640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1954928641) 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, 210495 + ... + 219585.

It is an arithmetic number, because the mean of its divisors is an integer number (37231740).

Almost surely, 21954928640 is an apocalyptic number.

1954928640 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 1954928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574247040).

1954928640 is an abundant number, since it is smaller than the sum of its proper divisors (5193565440).

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

1954928640 is an equidigital number, since it uses as much as digits as its factorization.

1954928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9128 (or 9108 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 1954928640 is about 44214.5749725133. The cubic root of 1954928640 is about 1250.3846581517.

The spelling of 1954928640 in words is "one billion, nine hundred fifty-four million, nine hundred twenty-eight thousand, six hundred forty".