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1992660480 = 29335127227
BaseRepresentation
bin111011011000101…
…1001011000000000
312010212112122022000
41312301121120000
513040110113410
6525421344000
7100244222526
oct16661313000
95125478260
101992660480
11932894348
12477408000
13259aa7755
1414c908316
15b9e12dc0
hex76c59600

1992660480 has 320 divisors, whose sum is σ = 7165255680. Its totient is φ = 524869632.

The previous prime is 1992660421. The next prime is 1992660539. The reversal of 1992660480 is 840662991.

It is a happy number.

1992660480 is a `hidden beast` number, since 1 + 99 + 26 + 60 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1992660421) and next prime (1992660539).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8778127 + ... + 8778353.

It is an arithmetic number, because the mean of its divisors is an integer number (22391424).

Almost surely, 21992660480 is an apocalyptic number.

1992660480 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 1992660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582627840).

1992660480 is an abundant number, since it is smaller than the sum of its proper divisors (5172595200).

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

1992660480 is a wasteful number, since it uses less digits than its factorization.

1992660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1992660480 is about 44639.2257997381. The cubic root of 1992660480 is about 1258.3779581365.

The spelling of 1992660480 in words is "one billion, nine hundred ninety-two million, six hundred sixty thousand, four hundred eighty".