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1025403120 = 243257316563
BaseRepresentation
bin111101000111100…
…110100011110000
32122110110212122100
4331013212203300
54100000344440
6245425540400
734260532320
oct7507464360
92573425570
101025403120
114868a45a5
122474a4700
13134592a11
149a281280
156004d230
hex3d1e68f0

1025403120 has 240 divisors, whose sum is σ = 4063168512. Its totient is φ = 226782720.

The previous prime is 1025403103. The next prime is 1025403131. The reversal of 1025403120 is 213045201.

1025403120 is a `hidden beast` number, since 1 + 0 + 2 + 540 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 1025403093 and 1025403102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152959 + ... + 159521.

Almost surely, 21025403120 is an apocalyptic number.

1025403120 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 1025403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031584256).

1025403120 is an abundant number, since it is smaller than the sum of its proper divisors (3037765392).

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

1025403120 is a wasteful number, since it uses less digits than its factorization.

1025403120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6620 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1025403120 is about 32021.9162449720. The cubic root of 1025403120 is about 1008.3969997062.

Adding to 1025403120 its reverse (213045201), we get a palindrome (1238448321).

The spelling of 1025403120 in words is "one billion, twenty-five million, four hundred three thousand, one hundred twenty".