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1025152020 = 223251731101107
BaseRepresentation
bin111101000110101…
…001010000010100
32122110000010012100
4331012221100110
54044414331040
6245420322100
734255435254
oct7506512024
92573003170
101025152020
11486742982
122473a3330
13134505639
149a217964
155eeedb30
hex3d1a9414

1025152020 has 288 divisors, whose sum is σ = 3464487936. Its totient is φ = 244224000.

The previous prime is 1025152019. The next prime is 1025152039. The reversal of 1025152020 is 202515201.

It is a super-2 number, since 2×10251520202 = 2101873328220160800, which contains 22 as substring.

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 = 1025151984 and 1025152002.

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 95 ways as a sum of consecutive naturals, for example, 9580807 + ... + 9580913.

It is an arithmetic number, because the mean of its divisors is an integer number (12029472).

Almost surely, 21025152020 is an apocalyptic number.

1025152020 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 1025152020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732243968).

1025152020 is an abundant number, since it is smaller than the sum of its proper divisors (2439335916).

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

1025152020 is a wasteful number, since it uses less digits than its factorization.

1025152020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1025152020 is about 32017.9952526700. The cubic root of 1025152020 is about 1008.3146811354.

Adding to 1025152020 its reverse (202515201), we get a palindrome (1227667221).

The spelling of 1025152020 in words is "one billion, twenty-five million, one hundred fifty-two thousand, twenty".