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1760096052 = 223211133141269
BaseRepresentation
bin110100011101000…
…1110111100110100
311112122221010212200
41220322032330310
512101041033202
6450352544500
761421366241
oct15072167464
94478833780
101760096052
1182358a240
12411552130
1322085b170
14129a8a5c8
15a47c4e1c
hex68e8ef34

1760096052 has 288 divisors, whose sum is σ = 5547709440. Its totient is φ = 463104000.

The previous prime is 1760096017. The next prime is 1760096053. The reversal of 1760096052 is 2506900671.

It is a super-2 number, since 2×17600960522 = 6195876224531973408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1760095998 and 1760096016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1760096053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6542974 + ... + 6543242.

It is an arithmetic number, because the mean of its divisors is an integer number (19262880).

Almost surely, 21760096052 is an apocalyptic number.

1760096052 is a gapful number since it is divisible by the number (12) 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 1760096052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773854720).

1760096052 is an abundant number, since it is smaller than the sum of its proper divisors (3787613388).

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

1760096052 is a wasteful number, since it uses less digits than its factorization.

1760096052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1760096052 is about 41953.4986860452. The cubic root of 1760096052 is about 1207.3841108897.

The spelling of 1760096052 in words is "one billion, seven hundred sixty million, ninety-six thousand, fifty-two".