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1030020480 = 273251767157
BaseRepresentation
bin111101011001001…
…101110110000000
32122210011110110200
4331121031312000
54102141123410
6250112525200
734345013106
oct7531156600
92583143420
101030020480
114894686a5
12248b50800
1313551b598
149ab23c76
15606613c0
hex3d64dd80

1030020480 has 384 divisors, whose sum is σ = 3846566880. Its totient is φ = 253034496.

The previous prime is 1030020473. The next prime is 1030020487. The reversal of 1030020480 is 840200301.

It is a happy number.

1030020480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1030020473) and next prime (1030020487).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030020487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6560562 + ... + 6560718.

Almost surely, 21030020480 is an apocalyptic number.

1030020480 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 1030020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923283440).

1030020480 is an abundant number, since it is smaller than the sum of its proper divisors (2816546400).

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

1030020480 is a wasteful number, since it uses less digits than its factorization.

1030020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1030020480 is about 32093.9321367763. The cubic root of 1030020480 is about 1009.9083274637.

Adding to 1030020480 its reverse (840200301), we get a palindrome (1870220781).

The spelling of 1030020480 in words is "one billion, thirty million, twenty thousand, four hundred eighty".